338827904 has 64 divisors (see below), whose sum is σ = 714718080. Its totient is φ = 159667200.

The previous prime is 338827903. The next prime is 338827943. The reversal of 338827904 is 409728833.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×338827904² = 229608697058066432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338827903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208214 + ... + 209834.

It is an arithmetic number, because the mean of its divisors is an integer number (11167470).

Almost surely, 2^338827904 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 338827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357359040).

338827904 is an abundant number, since it is smaller than the sum of its proper divisors (375890176).

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

338827904 is a wasteful number, since it uses less digits than its factorization.

338827904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 338827904 is about 18407.2785603956. The cubic root of 338827904 is about 697.1502536936.

The spelling of 338827904 in words is "three hundred thirty-eight million, eight hundred twenty-seven thousand, nine hundred four".