338560800 has 72 divisors (see below), whose sum is σ = 1102023216. Its totient is φ = 90282240.

The previous prime is 338560777. The next prime is 338560823. The reversal of 338560800 is 8065833.

It is an interprime number because it is at equal distance from previous prime (338560777) and next prime (338560823).

It is a super-2 number, since 2×338560800² = 229246830593280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68134 + ... + 72933.

It is an arithmetic number, because the mean of its divisors is an integer number (15305878).

Almost surely, 2^338560800 is an apocalyptic number.

338560800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338560800 is an abundant number, since it is smaller than the sum of its proper divisors (763462416).

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

338560800 is a wasteful number, since it uses less digits than its factorization.

338560800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141090 (or 141077 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 338560800 is about 18400.0217391176. The cubic root of 338560800 is about 696.9670135964.

The spelling of 338560800 in words is "three hundred thirty-eight million, five hundred sixty thousand, eight hundred".