38662880256 has 1056 divisors, whose sum is σ = 156119613440. Its totient is φ = 9196830720.

The previous prime is 38662880209. The next prime is 38662880257. The reversal of 38662880256 is 65208826683.

38662880256 is a `hidden beast` number, since 3 + 8 + 6 + 628 + 8 + 0 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38662880257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304432065 + ... + 304432191.

Almost surely, 2^38662880256 is an apocalyptic number.

38662880256 is a gapful number since it is divisible by the number (36) 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 38662880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78059806720).

38662880256 is an abundant number, since it is smaller than the sum of its proper divisors (117456733184).

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

38662880256 is a wasteful number, since it uses less digits than its factorization.

38662880256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 163 counting only the distinct ones).

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

The spelling of 38662880256 in words is "thirty-eight billion, six hundred sixty-two million, eight hundred eighty thousand, two hundred fifty-six".