38117640960 has 1296 divisors, whose sum is σ = 165649210272. Its totient is φ = 8360755200.

The previous prime is 38117640959. The next prime is 38117640971. The reversal of 38117640960 is 6904671183.

It is a happy number.

38117640960 is a `hidden beast` number, since 381 + 176 + 40 + 9 + 60 = 666.

38117640960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 624879330 + ... + 624879390.

Almost surely, 2^38117640960 is an apocalyptic number.

38117640960 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 38117640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82824605136).

38117640960 is an abundant number, since it is smaller than the sum of its proper divisors (127531569312).

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

38117640960 is an equidigital number, since it uses as much as digits as its factorization.

38117640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 38117640960 in words is "thirty-eight billion, one hundred seventeen million, six hundred forty thousand, nine hundred sixty".