38656275840 has 1536 divisors, whose sum is σ = 177760051200. Its totient is φ = 7763558400.

The previous prime is 38656275821. The next prime is 38656275863. The reversal of 38656275840 is 4857265683.

38656275840 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 627 + 5 + 8 + 4 + 0 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 633709410 + ... + 633709470.

It is an arithmetic number, because the mean of its divisors is an integer number (115729200).

Almost surely, 2^38656275840 is an apocalyptic number.

38656275840 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 38656275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88880025600).

38656275840 is an abundant number, since it is smaller than the sum of its proper divisors (139103775360).

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

38656275840 is a wasteful number, since it uses less digits than its factorization.

38656275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 38656275840 in words is "thirty-eight billion, six hundred fifty-six million, two hundred seventy-five thousand, eight hundred forty".