37th century

Millennia:	3rd millennium 4th millennium 5th millennium
Centuries:	31st century 32nd century 33rd century 34th century 35th century 36th century 37th century 38th century 39th century 40th century

The fourth millennium of the Gregorian calendar will begin on January 1, 3001, and end on December 31, 4000. It will be the fourth millennium in the Anno Domini or Common Era.

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Wikipedia