338643904 has 56 divisors (see below), whose sum is σ = 725484960. Its totient is φ = 156355584.

The previous prime is 338643889. The next prime is 338643911. The reversal of 338643904 is 409346833.

It is a super-2 number, since 2×338643904² = 229359387432722432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 38722 + ... + 46654.

Almost surely, 2^338643904 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 338643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362742480).

338643904 is an abundant number, since it is smaller than the sum of its proper divisors (386841056).

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

338643904 is a wasteful number, since it uses less digits than its factorization.

338643904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 338643904 is about 18402.2798587566. The cubic root of 338643904 is about 697.0240353664.

The spelling of 338643904 in words is "three hundred thirty-eight million, six hundred forty-three thousand, nine hundred four".