38717534827368 has 160 divisors (see below), whose sum is σ = 110002503135360. Its totient is φ = 12720714543360.

The previous prime is 38717534827351. The next prime is 38717534827421. The reversal of 38717534827368 is 86372843571783.

38717534827368 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 7 + 5 + 348 + 273 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38717534827296 and 38717534827305.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72155121 + ... + 72689727.

It is an arithmetic number, because the mean of its divisors is an integer number (687515644596).

Almost surely, 2^{38717534827368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38717534827368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55001251567680).

38717534827368 is an abundant number, since it is smaller than the sum of its proper divisors (71284968307992).

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

38717534827368 is a wasteful number, since it uses less digits than its factorization.

38717534827368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536229 (or 536216 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 72.

The spelling of 38717534827368 in words is "thirty-eight trillion, seven hundred seventeen billion, five hundred thirty-four million, eight hundred twenty-seven thousand, three hundred sixty-eight".