338152320 has 320 divisors, whose sum is σ = 1319606640. Its totient is φ = 81838080.

The previous prime is 338152319. The next prime is 338152337. The reversal of 338152320 is 23251833.

338152320 is a `hidden beast` number, since 338 + 1 + 5 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×338152320² = 228693983042764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 569944 + ... + 570536.

Almost surely, 2^338152320 is an apocalyptic number.

338152320 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 338152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659803320).

338152320 is an abundant number, since it is smaller than the sum of its proper divisors (981454320).

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

338152320 is a wasteful number, since it uses less digits than its factorization.

338152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 338152320 is about 18388.9184021247. The cubic root of 338152320 is about 696.6865995024.

The spelling of 338152320 in words is "three hundred thirty-eight million, one hundred fifty-two thousand, three hundred twenty".