338900625 has 160 divisors (see below), whose sum is σ = 759756800. Its totient is φ = 145800000.

The previous prime is 338900609. The next prime is 338900633. The reversal of 338900625 is 526009833.

It is not a de Polignac number, because 338900625 - 2⁴ = 338900609 is a prime.

It is a super-2 number, since 2×338900625² = 229707267250781250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338900625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2244300 + ... + 2244450.

It is an arithmetic number, because the mean of its divisors is an integer number (4748480).

Almost surely, 2^338900625 is an apocalyptic number.

338900625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

338900625 is an abundant number, since it is smaller than the sum of its proper divisors (420856175).

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

338900625 is a wasteful number, since it uses less digits than its factorization.

338900625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 338900625 is about 18409.2537871582. The cubic root of 338900625 is about 697.2001254588.

The spelling of 338900625 in words is "three hundred thirty-eight million, nine hundred thousand, six hundred twenty-five".