38893510656 has 1344 divisors, whose sum is σ = 164876414976. Its totient is φ = 8493465600.

The previous prime is 38893510613. The next prime is 38893510661. The reversal of 38893510656 is 65601539883.

38893510656 is a `hidden beast` number, since 38 + 8 + 93 + 510 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×38893510656² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1254629361 + ... + 1254629391.

It is an arithmetic number, because the mean of its divisors is an integer number (122675904).

Almost surely, 2^38893510656 is an apocalyptic number.

38893510656 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 38893510656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82438207488).

38893510656 is an abundant number, since it is smaller than the sum of its proper divisors (125982904320).

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

38893510656 is a wasteful number, since it uses less digits than its factorization.

38893510656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 38893510656 in words is "thirty-eight billion, eight hundred ninety-three million, five hundred ten thousand, six hundred fifty-six".