338908900 has 108 divisors (see below), whose sum is σ = 831312244. Its totient is φ = 119750400.

The previous prime is 338908897. The next prime is 338908949. The reversal of 338908900 is 9809833.

It can be written as a sum of positive squares in 6 ways, for example, as 7086244 + 331822656 = 2662^2 + 18216^2 .

It is a super-2 number, since 2×338908900² = 229718484998420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447322 + ... + 448078.

Almost surely, 2^338908900 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 338908900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415656122).

338908900 is an abundant number, since it is smaller than the sum of its proper divisors (492403344).

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

338908900 is a wasteful number, since it uses less digits than its factorization.

338908900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 812 counting only the distinct ones).

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

The square root of 338908900 is about 18409.4785368842. The cubic root of 338908900 is about 697.2057999679.

The spelling of 338908900 in words is "three hundred thirty-eight million, nine hundred eight thousand, nine hundred".