38356792320 has 1056 divisors, whose sum is σ = 160893806976. Its totient is φ = 7707033600.

The previous prime is 38356792291. The next prime is 38356792363. The reversal of 38356792320 is 2329765383.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×38356792320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38356792320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339440584 + ... + 339440696.

Almost surely, 2^38356792320 is an apocalyptic number.

38356792320 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 38356792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80446903488).

38356792320 is an abundant number, since it is smaller than the sum of its proper divisors (122537014656).

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

38356792320 is a wasteful number, since it uses less digits than its factorization.

38356792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 38356792320 in words is "thirty-eight billion, three hundred fifty-six million, seven hundred ninety-two thousand, three hundred twenty".