38687166720 has 432 divisors, whose sum is σ = 139422646272. Its totient is φ = 9893560320.

The previous prime is 38687166719. The next prime is 38687166761. The reversal of 38687166720 is 2766178683.

38687166720 is a `hidden beast` number, since 386 + 87 + 166 + 7 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45353814 + ... + 45354666.

Almost surely, 2^38687166720 is an apocalyptic number.

38687166720 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 38687166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69711323136).

38687166720 is an abundant number, since it is smaller than the sum of its proper divisors (100735479552).

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

38687166720 is a wasteful number, since it uses less digits than its factorization.

38687166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 38687166720 in words is "thirty-eight billion, six hundred eighty-seven million, one hundred sixty-six thousand, seven hundred twenty".