338098900 has 36 divisors (see below), whose sum is σ = 736771420. Its totient is φ = 134668800.

The previous prime is 338098889. The next prime is 338098913. The reversal of 338098900 is 9890833.

It can be written as a sum of positive squares in 6 ways, for example, as 34433424 + 303665476 = 5868^2 + 17426^2 .

It is a super-2 number, since 2×338098900² = 228621732362420000, which contains 22 as substring.

It is a congruent number.

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, 17086 + ... + 31114.

Almost surely, 2^338098900 is an apocalyptic number.

It is an amenable number.

338098900 is an abundant number, since it is smaller than the sum of its proper divisors (398672520).

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

338098900 is a wasteful number, since it uses less digits than its factorization.

338098900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14284 (or 14277 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 338098900 is about 18387.4658395332. The cubic root of 338098900 is about 696.6499109493.

The spelling of 338098900 in words is "three hundred thirty-eight million, ninety-eight thousand, nine hundred".