338935968 has 96 divisors (see below), whose sum is σ = 1129806720. Its totient is φ = 96837120.

The previous prime is 338935937. The next prime is 338935973. The reversal of 338935968 is 869539833.

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

It is a super-2 number, since 2×338935968² = 229755180808194048, which 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, 21973 + ... + 34068.

It is an arithmetic number, because the mean of its divisors is an integer number (11768820).

Almost surely, 2^338935968 is an apocalyptic number.

It is an amenable number.

338935968 is an abundant number, since it is smaller than the sum of its proper divisors (790870752).

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

338935968 is a wasteful number, since it uses less digits than its factorization.

338935968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56067 (or 56053 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 338935968 is about 18410.2136869728. The cubic root of 338935968 is about 697.2243609678.

The spelling of 338935968 in words is "three hundred thirty-eight million, nine hundred thirty-five thousand, nine hundred sixty-eight".