338575120 has 160 divisors (see below), whose sum is σ = 888193152. Its totient is φ = 119218176.

The previous prime is 338575109. The next prime is 338575201. The reversal of 338575120 is 21575833.

It is a super-2 number, since 2×338575120² = 229266223766028800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2996184 + ... + 2996296.

Almost surely, 2^338575120 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 338575120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444096576).

338575120 is an abundant number, since it is smaller than the sum of its proper divisors (549618032).

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

338575120 is a wasteful number, since it uses less digits than its factorization.

338575120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 338575120 is about 18400.4108649780. The cubic root of 338575120 is about 696.9768399230.

The spelling of 338575120 in words is "three hundred thirty-eight million, five hundred seventy-five thousand, one hundred twenty".