368971204900 has 243 divisors, whose sum is σ = 889764334641. Its totient is φ = 132779338560.

The previous prime is 368971204879. The next prime is 368971204909. The reversal of 368971204900 is 9402179863.

The square root of 368971204900 is 607430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 132829633764 + 236141571136 = 364458^2 + 485944^2 .

It is a super-2 number, since 2×368971204900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (368971204909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2654469031 + ... + 2654469169.

Almost surely, 2^368971204900 is an apocalyptic number.

368971204900 is the 607430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368971204900

368971204900 is an abundant number, since it is smaller than the sum of its proper divisors (520793129741).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

368971204900 is a wasteful number, since it uses less digits than its factorization.

368971204900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 368971204900 by its sum of digits (49), we get a square (18079589040100 = 4252010²).

The spelling of 368971204900 in words is "three hundred sixty-eight billion, nine hundred seventy-one million, two hundred four thousand, nine hundred".