338093568 has 160 divisors (see below), whose sum is σ = 1029383520. Its totient is φ = 109486080.

The previous prime is 338093549. The next prime is 338093593. The reversal of 338093568 is 865390833.

338093568 is a `hidden beast` number, since 3 + 3 + 80 + 9 + 3 + 568 = 666.

338093568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338093568² = 228614521445941248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511158 + ... + 511818.

It is an arithmetic number, because the mean of its divisors is an integer number (6433647).

Almost surely, 2^338093568 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 338093568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514691760).

338093568 is an abundant number, since it is smaller than the sum of its proper divisors (691289952).

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

338093568 is an equidigital number, since it uses as much as digits as its factorization.

338093568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 338093568 is about 18387.3208488893. The cubic root of 338093568 is about 696.6462487498.

The spelling of 338093568 in words is "three hundred thirty-eight million, ninety-three thousand, five hundred sixty-eight".