38460975696 has 240 divisors, whose sum is σ = 128602393920. Its totient is φ = 10575636480.

The previous prime is 38460975677. The next prime is 38460975703. The reversal of 38460975696 is 69657906483.

38460975696 is a `hidden beast` number, since 3 + 8 + 4 + 60 + 9 + 7 + 569 + 6 = 666.

38460975696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1199100 + ... + 1230756.

It is an arithmetic number, because the mean of its divisors is an integer number (535843308).

Almost surely, 2^38460975696 is an apocalyptic number.

38460975696 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 38460975696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64301196960).

38460975696 is an abundant number, since it is smaller than the sum of its proper divisors (90141418224).

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

38460975696 is a wasteful number, since it uses less digits than its factorization.

38460975696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31754 (or 31745 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 38460975696 in words is "thirty-eight billion, four hundred sixty million, nine hundred seventy-five thousand, six hundred ninety-six".