338875308072 has 64 divisors (see below), whose sum is σ = 1075794633600. Its totient is φ = 96821516160.

The previous prime is 338875308053. The next prime is 338875308119. The reversal of 338875308072 is 270803578833.

338875308072 is a `hidden beast` number, since 3 + 38 + 8 + 7 + 530 + 8 + 0 + 72 = 666.

It is a super-2 number, since 2×338875308072² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112060429 + ... + 112063452.

It is an arithmetic number, because the mean of its divisors is an integer number (16809291150).

Almost surely, 2^338875308072 is an apocalyptic number.

It is an amenable number.

338875308072 is an abundant number, since it is smaller than the sum of its proper divisors (736919325528).

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

338875308072 is a wasteful number, since it uses less digits than its factorization.

338875308072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224123903 (or 224123893 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 338875308072 in words is "three hundred thirty-eight billion, eight hundred seventy-five million, three hundred eight thousand, seventy-two".