38656880640 has 520 divisors, whose sum is σ = 158419182240. Its totient is φ = 8833204224.

The previous prime is 38656880623. The next prime is 38656880641. The reversal of 38656880640 is 4608865683.

38656880640 is a `hidden beast` number, since 38 + 6 + 568 + 8 + 0 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38656880641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11610496 + ... + 11613824.

Almost surely, 2^38656880640 is an apocalyptic number.

38656880640 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 38656880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79209591120).

38656880640 is an abundant number, since it is smaller than the sum of its proper divisors (119762301600).

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

38656880640 is an equidigital number, since it uses as much as digits as its factorization.

38656880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 38656880640 in words is "thirty-eight billion, six hundred fifty-six million, eight hundred eighty thousand, six hundred forty".