338912800 has 72 divisors (see below), whose sum is σ = 839852496. Its totient is φ = 133520640.

The previous prime is 338912789. The next prime is 338912809. The reversal of 338912800 is 8219833.

It is a super-2 number, since 2×338912800² = 229723772007680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (338912809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50439 + ... + 56761.

It is an arithmetic number, because the mean of its divisors is an integer number (11664618).

Almost surely, 2^338912800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419926248).

338912800 is an abundant number, since it is smaller than the sum of its proper divisors (500939696).

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

338912800 is a wasteful number, since it uses less digits than its factorization.

338912800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 338912800 is about 18409.5844602750. The cubic root of 338912800 is about 697.2084743269.

The spelling of 338912800 in words is "three hundred thirty-eight million, nine hundred twelve thousand, eight hundred".