338350520 has 32 divisors (see below), whose sum is σ = 762289920. Its totient is φ = 135162240.

The previous prime is 338350513. The next prime is 338350549. The reversal of 338350520 is 25053833.

It is a super-2 number, since 2×338350520² = 228962148768540800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 27689 + ... + 37991.

It is an arithmetic number, because the mean of its divisors is an integer number (23821560).

Almost surely, 2^338350520 is an apocalyptic number.

It is an amenable number.

338350520 is an abundant number, since it is smaller than the sum of its proper divisors (423939400).

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

338350520 is a wasteful number, since it uses less digits than its factorization.

338350520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135 (or 11131 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 338350520 is about 18394.3067278982. The cubic root of 338350520 is about 696.8226883856.

The spelling of 338350520 in words is "three hundred thirty-eight million, three hundred fifty thousand, five hundred twenty".