37900768320 has 784 divisors, whose sum is σ = 151115207040. Its totient is φ = 8993783808.

The previous prime is 37900768307. The next prime is 37900768349. The reversal of 37900768320 is 2386700973.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 75349189 + ... + 75349691.

Almost surely, 2^37900768320 is an apocalyptic number.

37900768320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37900768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75557603520).

37900768320 is an abundant number, since it is smaller than the sum of its proper divisors (113214438720).

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

37900768320 is a wasteful number, since it uses less digits than its factorization.

37900768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 37900768320 in words is "thirty-seven billion, nine hundred million, seven hundred sixty-eight thousand, three hundred twenty".