338329320 has 192 divisors, whose sum is σ = 1191309120. Its totient is φ = 76640256.

The previous prime is 338329301. The next prime is 338329349. The reversal of 338329320 is 23923833.

It is a super-2 number, since 2×338329320² = 228933457543324800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958264 + ... + 958616.

It is an arithmetic number, because the mean of its divisors is an integer number (6204735).

Almost surely, 2^338329320 is an apocalyptic number.

338329320 is a gapful number since it is divisible by the number (30) 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 338329320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595654560).

338329320 is an abundant number, since it is smaller than the sum of its proper divisors (852979800).

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

338329320 is a wasteful number, since it uses less digits than its factorization.

338329320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 338329320 is about 18393.7304536084. The cubic root of 338329320 is about 696.8081344948.

The spelling of 338329320 in words is "three hundred thirty-eight million, three hundred twenty-nine thousand, three hundred twenty".