338735264 has 48 divisors (see below), whose sum is σ = 786756096. Its totient is φ = 140486400.

The previous prime is 338735219. The next prime is 338735279. The reversal of 338735264 is 462537833.

It is a super-2 number, since 2×338735264² = 229483158154299392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17447 + ... + 31334.

It is an arithmetic number, because the mean of its divisors is an integer number (16390752).

Almost surely, 2^338735264 is an apocalyptic number.

It is an amenable number.

338735264 is an abundant number, since it is smaller than the sum of its proper divisors (448020832).

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

338735264 is a wasteful number, since it uses less digits than its factorization.

338735264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48829 (or 48821 counting only the distinct ones).

The product of its digits is 362880, while the sum is 41.

The square root of 338735264 is about 18404.7619924844. The cubic root of 338735264 is about 697.0867112229.

The spelling of 338735264 in words is "three hundred thirty-eight million, seven hundred thirty-five thousand, two hundred sixty-four".