38956701168 has 600 divisors, whose sum is σ = 147892867584. Its totient is φ = 9672410880.

The previous prime is 38956701137. The next prime is 38956701181. The reversal of 38956701168 is 86110765983.

38956701168 is a `hidden beast` number, since 3 + 8 + 9 + 567 + 0 + 11 + 68 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25246605 + ... + 25248147.

Almost surely, 2^38956701168 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 38956701168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73946433792).

38956701168 is an abundant number, since it is smaller than the sum of its proper divisors (108936166416).

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

38956701168 is a wasteful number, since it uses less digits than its factorization.

38956701168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 38956701168 in words is "thirty-eight billion, nine hundred fifty-six million, seven hundred one thousand, one hundred sixty-eight".