338431360 has 32 divisors (see below), whose sum is σ = 809064000. Its totient is φ = 135372288.

The previous prime is 338431333. The next prime is 338431399. The reversal of 338431360 is 63134833.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×338431360² = 229071570862899200, 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 3 ways as a sum of consecutive naturals, for example, 263760 + ... + 265039.

It is an arithmetic number, because the mean of its divisors is an integer number (25283250).

Almost surely, 2^338431360 is an apocalyptic number.

It is an amenable number.

338431360 is an abundant number, since it is smaller than the sum of its proper divisors (470632640).

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

338431360 is an equidigital number, since it uses as much as digits as its factorization.

338431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528818 (or 528806 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 338431360 is about 18396.5040157091. The cubic root of 338431360 is about 696.8781798135.

The spelling of 338431360 in words is "three hundred thirty-eight million, four hundred thirty-one thousand, three hundred sixty".