The U.S. Army Corps of Engineers, which converted a New York convention center into a 1,000-bed hospital in the space of a week, is searching for hotels, dormitories, convention centers and large open space to build as many as 341 temporary hospitals, the chief of corps said on Tuesday.

“The scope is immense,” Lieutenant General Todd Semonite of the corps told the ABC News “Good Morning America” program. “We’re looking right now at around 341 different facilities across all of the United States.”

The U.S. caseload rose by more than 20,000 confirmed cases on Monday, overwhelming hospitals that are running out of doctors, nurses, medical equipment and protective gear.

A record 575 people died, pushing the death toll past 3,000 on Monday, more than the number killed in the attacks of Sept. 11, 2001, as the caseload rose to more than 163,000, according to a Reuters tally of official statistics.