More than 10,000 people have died of coronavirus in New York City, including over 3,700 cases where someone never made it to a hospital, the city’s Health Department announced Tuesday.

The Big Apple’s new death toll is 10,367. That figures combines the 6,589 victims who tested positive for the virus plus another 3,778 who were never tested, but whose death certificates list the cause of death as “COVID-19 or an equivalent,” according to city Health Department data from March 11 through April 13.

“This virus has sadly touched every corner of our city,” said Mayor Bill de Blasio’s Press Secretary Freddi Goldstein.

“We knew the number of lives lost would be greater than originally reported, but that doesn’t make it any less painful. We’re committed to being as transparent as possible with New Yorkers as we continue to fight our way through this,” Goldstein said.

The Post reported last week that the city’s death tally was short by thousands of people due to a surge in New Yorkers who were dying at home.

Probable coronavirus deaths were more common than confirmed coronavirus deaths among victims ages 75 and older, according to the city’s Health Department.

Probable COVID-19 fatalities were also more likely to occur in Manhattan and Brooklyn compared to the other boroughs, the data shows.

More than 90 percent of confirmed COVID-19 deaths happened at city hospitals while about 60 percent of probable coronavirus fatalities occurred in hospitals. The other 40 percent of probable coronavirus victims died at their own homes or in nursing homes.

A city Health Department spokeswoman said the death toll could be even higher than 10,367.

Aside from confirmed and probable COVID-19 deaths, 8,184 people died in the city from March 11 through April 13. During the same period last year there were just 5,167 so the difference could be coronavirus fatalities that neither tested positive nor were designated as COVID-19 victims in their death certificates.