338080100 has 36 divisors (see below), whose sum is σ = 753470004. Its totient is φ = 131575680.

The previous prime is 338080073. The next prime is 338080121. The reversal of 338080100 is 1080833.

338080100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 60124516 + 277955584 = 7754^2 + 16672^2 .

It is a super-2 number, since 2×338080100² = 228596308032020000, 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, 41987 + ... + 49386.

Almost surely, 2^338080100 is an apocalyptic number.

It is an amenable number.

338080100 is an abundant number, since it is smaller than the sum of its proper divisors (415389904).

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

338080100 is a wasteful number, since it uses less digits than its factorization.

338080100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91424 (or 91417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 338080100 is about 18386.9546146174. The cubic root of 338080100 is about 696.6369982965.

The spelling of 338080100 in words is "three hundred thirty-eight million, eighty thousand, one hundred".