38th century

Millennium:	4th millennium
Centuries:	37th century · 38th century · 39th century
Decades:	3700s 3710s 3720s 3730s 3740s 3750s 3760s 3770s 3780s 3790s

The 38th century of the Anno Domini (common) era will span from January 1, 3701–December 31, 3800 of the Gregorian calendar. It will be the eighth century of the 4th millennium.

Astronomical events

In the year 3781, according to Walter Miller Jr.'s A Canticle for Leibowitz ("Fiat Voluntas Tua"), a second nuclear holocaust destroys all life on Earth. However, survivors escape to human interstellar colonies.
Nostradamus' prophecies would extend to the year 3797; although not being considered as the end of the world.^[1]
3798 is the year in which Michael Wang's "The Cosmos" mostly takes place.
Nausicaä of the Valley of the Wind is set 1000 years after the "Seven Days of fire", which take place about the year 2700 (1000 years after the begin of modern civilization). This means, Nausicaä of the Valley of the Wind takes place anywhere in the 38th Century
In The Outer Limits episode "Soldier", the eponymous Qarlo Clobregnny, as played by Michael Ansara, originates in the 38th Century and is thrown back in time to 1964.

^ de Nostredame, Michel (1555). "Preface". Les Propheties. "...I have composed books of prophecies, containing each one hundred astronomic quatrains of forecasts, which I have tried to polish through obscurely, and which are perpetual vaticinations, from now to the year 3797."