338605120 has 56 divisors (see below), whose sum is σ = 921495744. Its totient is φ = 116092416.

The previous prime is 338605109. The next prime is 338605123. The reversal of 338605120 is 21506833.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×338605120² = 229306854580428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (338605123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73342 + ... + 77821.

Almost surely, 2^338605120 is an apocalyptic number.

It is an amenable number.

338605120 is an abundant number, since it is smaller than the sum of its proper divisors (582890624).

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

338605120 is a wasteful number, since it uses less digits than its factorization.

338605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151187 (or 151177 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 338605120 is about 18401.2260461090. The cubic root of 338605120 is about 696.9974249044.

The spelling of 338605120 in words is "three hundred thirty-eight million, six hundred five thousand, one hundred twenty".