338312568 has 64 divisors (see below), whose sum is σ = 940118400. Its totient is φ = 100580480.

The previous prime is 338312567. The next prime is 338312591. The reversal of 338312568 is 865213833.

It is a super-2 number, since 2×338312568² = 228910787333509248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338312561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1903 + ... + 26081.

It is an arithmetic number, because the mean of its divisors is an integer number (14689350).

Almost surely, 2^338312568 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 338312568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470059200).

338312568 is an abundant number, since it is smaller than the sum of its proper divisors (601805832).

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

338312568 is a wasteful number, since it uses less digits than its factorization.

338312568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24252 (or 24248 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 338312568 is about 18393.2750754182. The cubic root of 338312568 is about 696.7966337451.

It can be divided in two parts, 3383 and 12568, that added together give a palindrome (15951).

The spelling of 338312568 in words is "three hundred thirty-eight million, three hundred twelve thousand, five hundred sixty-eight".