38957365920 has 768 divisors, whose sum is σ = 152374763520. Its totient is φ = 8242790400.

The previous prime is 38957365907. The next prime is 38957365949. The reversal of 38957365920 is 2956375983.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90388105 + ... + 90388535.

It is an arithmetic number, because the mean of its divisors is an integer number (198404640).

Almost surely, 2^38957365920 is an apocalyptic number.

38957365920 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 38957365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76187381760).

38957365920 is an abundant number, since it is smaller than the sum of its proper divisors (113417397600).

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

38957365920 is a wasteful number, since it uses less digits than its factorization.

38957365920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 57.

The spelling of 38957365920 in words is "thirty-eight billion, nine hundred fifty-seven million, three hundred sixty-five thousand, nine hundred twenty".