338319568 has 40 divisors (see below), whose sum is σ = 684777600. Its totient is φ = 161718144.

The previous prime is 338319559. The next prime is 338319623. The reversal of 338319568 is 865913833.

It is a super-2 number, since 2×338319568² = 228920260183413248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 44253 + ... + 51331.

It is an arithmetic number, because the mean of its divisors is an integer number (17119440).

Almost surely, 2^338319568 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 338319568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342388800).

338319568 is an abundant number, since it is smaller than the sum of its proper divisors (346458032).

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

338319568 is a wasteful number, since it uses less digits than its factorization.

338319568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7219 (or 7213 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 338319568 is about 18393.4653613722. The cubic root of 338319568 is about 696.8014395009.

The spelling of 338319568 in words is "three hundred thirty-eight million, three hundred nineteen thousand, five hundred sixty-eight".