38608540822656 has 576 divisors, whose sum is σ = 134100905473080. Its totient is φ = 10622172266496.

The previous prime is 38608540822627. The next prime is 38608540822679. The reversal of 38608540822656 is 65622804580683.

It is a happy number.

38608540822656 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 8 + 540 + 8 + 22 + 65 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35679596097600 + 2928944725056 = 5973240^2 + 1711416^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 38608540822593 and 38608540822602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202496586 + ... + 202687158.

Almost surely, 2^{38608540822656} is an apocalyptic number.

38608540822656 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 38608540822656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67050452736540).

38608540822656 is an abundant number, since it is smaller than the sum of its proper divisors (95492364650424).

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

38608540822656 is a wasteful number, since it uses less digits than its factorization.

38608540822656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190741 (or 190719 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 38608540822656 in words is "thirty-eight trillion, six hundred eight billion, five hundred forty million, eight hundred twenty-two thousand, six hundred fifty-six".