38861625600 has 810 divisors, whose sum is σ = 162662769906. Its totient is φ = 8851046400.

The previous prime is 38861625587. The next prime is 38861625617. The reversal of 38861625600 is 652616883.

38861625600 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 16 + 25 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4337012736 + 34524612864 = 65856^2 + 185808^2 .

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 89 ways as a sum of consecutive naturals, for example, 138297460 + ... + 138297740.

Almost surely, 2^38861625600 is an apocalyptic number.

38861625600 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 38861625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81331384953).

38861625600 is an abundant number, since it is smaller than the sum of its proper divisors (123801144306).

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

38861625600 is an equidigital number, since it uses as much as digits as its factorization.

38861625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38861625600 in words is "thirty-eight billion, eight hundred sixty-one million, six hundred twenty-five thousand, six hundred".