38406860928 has 96 divisors (see below), whose sum is σ = 111315313200. Its totient is φ = 12710131200.

The previous prime is 38406860911. The next prime is 38406860939. The reversal of 38406860928 is 82906860483.

38406860928 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 6 + 8 + 609 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 40203 + ... + 280053.

Almost surely, 2^38406860928 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 38406860928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55657656600).

38406860928 is an abundant number, since it is smaller than the sum of its proper divisors (72908452272).

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

38406860928 is a wasteful number, since it uses less digits than its factorization.

38406860928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240010 (or 239995 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 38406860928 in words is "thirty-eight billion, four hundred six million, eight hundred sixty thousand, nine hundred twenty-eight".