338486120 has 64 divisors (see below), whose sum is σ = 888192000. Its totient is φ = 116047680.

The previous prime is 338486069. The next prime is 338486207. The reversal of 338486120 is 21684833.

It is a happy number.

It is a super-2 number, since 2×338486120² = 229145706865308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 15 ways as a sum of consecutive naturals, for example, 1385 + ... + 26055.

It is an arithmetic number, because the mean of its divisors is an integer number (13878000).

Almost surely, 2^338486120 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 338486120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444096000).

338486120 is an abundant number, since it is smaller than the sum of its proper divisors (549705880).

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

338486120 is a wasteful number, since it uses less digits than its factorization.

338486120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24703 (or 24685 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 338486120 is about 18397.9922817681. The cubic root of 338486120 is about 696.9157639892.

The spelling of 338486120 in words is "three hundred thirty-eight million, four hundred eighty-six thousand, one hundred twenty".