A successful film maker is going to be able to key in on images or ideas that have some sort of resonance with a general public, so it "feels" significant whether it is or not.

The time measurement of hours and minutes is totally arbitrary. Our ancestors could have divided the day into 30 equal parts or 100 equal parts or 10 equal parts just as easily as they chose 24. There is nothing inherent or magical or "supernatural" or "alien" about the 24 hour day. It's just the system that caught on. As a consequence of it being so ubiquitous, we tend to think of the 24 hour day as being "natural" and any references to a particular time of day or night might seem "special. That time of day, 3:33 AM, reflects about an eighth of the total time that will pass in a single day. Had the day been measured in 30 segments instead of 24, it would look more like 10 o'clock. Had the day been on a ten "hour" system, it would have been about half past one in the morning. Remember also that our culture may start the day at midnight, but some cultures start the day at sundown or sun-up. I don't know of any that start the day at noon, but that would also be an easy reference point to divide the morning from the afternoon, and you could easily have called the morning yesterday and the afternoon today. It is simply the cultural norm, not something magical, supernatural, or alien.

Military time is still a 24 hour day, but 3:33 PM doesn't look like 3:33 - it looks like 15:33.

Even the time that passes in a single day is somewhat fluid. I've read that in the past, the rotational energy of the earth was not dissipated by tides, and it actually spun faster, so the "natural" 24 hour day was actually shorter than what we now measure as 24 hours.

What you are asking about is the phenomenon that any good story teller uses to draw in the audience. Some bad story tellers use it, too, so just be skeptical about any "special meaning" associated with numbers. Some recent examples are the millenium scare and the movie 2012. Hokum is hokum.

The movie you mention may or may not be a good movie, but don't give it more meaning that in has. It is entertainment, not science, and certainly not predictive in nature.

Aside to Hank - I haven't seen the movie or even the trailer, so I hadn't thought of the religious aspect. Good answer. Since some think 666 is "the number of the beast," or evil, then maybe these characters in the movie are just half that bad. I had a phone number once that ended with the digits 3,6,6, and 9. My husband joked that we should disconnect our "evil" land line.