338189904 has 120 divisors (see below), whose sum is σ = 1057175392. Its totient is φ = 104042880.

The previous prime is 338189899. The next prime is 338189921. The reversal of 338189904 is 409981833.

It is a super-2 number, since 2×338189904² = 228744822335058432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338189904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47199 + ... + 53889.

Almost surely, 2^338189904 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 338189904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528587696).

338189904 is an abundant number, since it is smaller than the sum of its proper divisors (718985488).

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

338189904 is a wasteful number, since it uses less digits than its factorization.

338189904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6727 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 338189904 is about 18389.9402935409. The cubic root of 338189904 is about 696.7124096651.

The spelling of 338189904 in words is "three hundred thirty-eight million, one hundred eighty-nine thousand, nine hundred four".