37900669947904 has 351 divisors, whose sum is σ = 81874647406461. Its totient is φ = 17541170626560.

The previous prime is 37900669947901. The next prime is 37900669947949. The reversal of 37900669947904 is 40974996600973.

The square root of 37900669947904 is 6156352.

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., 19874191970304 + 18026477977600 = 4458048^2 + 4245760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37900669947901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 354211868619 + ... + 354211868725.

Almost surely, 2^{37900669947904} is an apocalyptic number.

37900669947904 is the 6156352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37900669947904

37900669947904 is an abundant number, since it is smaller than the sum of its proper divisors (43973977458557).

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

37900669947904 is an frugal number, since it uses more digits than its factorization.

37900669947904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 555532992, while the sum is 73.

The spelling of 37900669947904 in words is "thirty-seven trillion, nine hundred billion, six hundred sixty-nine million, nine hundred forty-seven thousand, nine hundred four".