338675904 has 392 divisors, whose sum is σ = 1239304608. Its totient is φ = 89579520.

The previous prime is 338675903. The next prime is 338675929. The reversal of 338675904 is 409576833.

It is a super-2 number, since 2×338675904² = 229402735900434432, 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 338675904.

It is not an unprimeable number, because it can be changed into a prime (338675903) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5552034 + ... + 5552094.

Almost surely, 2^338675904 is an apocalyptic number.

338675904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619652304).

338675904 is an abundant number, since it is smaller than the sum of its proper divisors (900628704).

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

338675904 is an equidigital number, since it uses as much as digits as its factorization.

338675904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 338675904 is about 18403.1492957048. The cubic root of 338675904 is about 697.0459896635.

The spelling of 338675904 in words is "three hundred thirty-eight million, six hundred seventy-five thousand, nine hundred four".