338808960 has 256 divisors, whose sum is σ = 1371859200. Its totient is φ = 77414400.

The previous prime is 338808941. The next prime is 338809033. The reversal of 338808960 is 69808833.

It is a super-2 number, since 2×338808960² = 229583022752563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119560 + ... + 122360.

It is an arithmetic number, because the mean of its divisors is an integer number (5358825).

Almost surely, 2^338808960 is an apocalyptic number.

338808960 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 338808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685929600).

338808960 is an abundant number, since it is smaller than the sum of its proper divisors (1033050240).

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

338808960 is a wasteful number, since it uses less digits than its factorization.

338808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 338808960 is about 18406.7639741482. The cubic root of 338808960 is about 697.1372608041.

The spelling of 338808960 in words is "three hundred thirty-eight million, eight hundred eight thousand, nine hundred sixty".