338568900 has 72 divisors (see below), whose sum is σ = 981541344. Its totient is φ = 90105600.

The previous prime is 338568863. The next prime is 338568913. The reversal of 338568900 is 9865833.

It is a super-2 number, since 2×338568900² = 229257800094420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227559 + ... + 229041.

Almost surely, 2^338568900 is an apocalyptic number.

338568900 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 338568900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490770672).

338568900 is an abundant number, since it is smaller than the sum of its proper divisors (642972444).

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

338568900 is a wasteful number, since it uses less digits than its factorization.

338568900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 338568900 is about 18400.2418462367. The cubic root of 338568900 is about 696.9725718180.

The spelling of 338568900 in words is "three hundred thirty-eight million, five hundred sixty-eight thousand, nine hundred".