338916004 has 96 divisors (see below), whose sum is σ = 729308160. Its totient is φ = 134784000.

The previous prime is 338915921. The next prime is 338916023. The reversal of 338916004 is 400619833.

It is a super-2 number, since 2×338916004² = 229728115534656032, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3355554 + ... + 3355654.

It is an arithmetic number, because the mean of its divisors is an integer number (7596960).

Almost surely, 2^338916004 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 338916004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364654080).

338916004 is an abundant number, since it is smaller than the sum of its proper divisors (390392156).

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

338916004 is a wasteful number, since it uses less digits than its factorization.

338916004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 338916004 is about 18409.6714799586. The cubic root of 338916004 is about 697.2106714003.

The spelling of 338916004 in words is "three hundred thirty-eight million, nine hundred sixteen thousand, four".