37908090000 has 675 divisors, whose sum is σ = 148229160079. Its totient is φ = 9034080000.

The previous prime is 37908089987. The next prime is 37908090007. The reversal of 37908090000 is 9080973.

The square root of 37908090000 is 194700.

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

37908090000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2971994256 + 34936095744 = 54516^2 + 186912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (37908090007) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 642509971 + ... + 642510029.

Almost surely, 2^37908090000 is an apocalyptic number.

37908090000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

37908090000 is the 194700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37908090000

37908090000 is an abundant number, since it is smaller than the sum of its proper divisors (110321070079).

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

37908090000 is a wasteful number, since it uses less digits than its factorization.

37908090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Multiplying 37908090000 by its sum of digits (36), we get a square (1364691240000 = 1168200²).

37908090000 divided by its sum of digits (36) gives a square (1053002500 = 32450²).

The spelling of 37908090000 in words is "thirty-seven billion, nine hundred eight million, ninety thousand".