38691920160 has 96 divisors (see below), whose sum is σ = 135421735680. Its totient is φ = 10317844224.

The previous prime is 38691920143. The next prime is 38691920237. The reversal of 38691920160 is 6102919683.

It is a happy number.

38691920160 is a `hidden beast` number, since 386 + 9 + 1 + 9 + 201 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 4473912 + ... + 4482551.

It is an arithmetic number, because the mean of its divisors is an integer number (1410643080).

Almost surely, 2^38691920160 is an apocalyptic number.

38691920160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38691920160 is an abundant number, since it is smaller than the sum of its proper divisors (96729815520).

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

38691920160 is a wasteful number, since it uses less digits than its factorization.

38691920160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8956487 (or 8956473 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 38691920160 in words is "thirty-eight billion, six hundred ninety-one million, nine hundred twenty thousand, one hundred sixty".