338852160 has 280 divisors, whose sum is σ = 1277919720. Its totient is φ = 84934656.

The previous prime is 338852149. The next prime is 338852197. The reversal of 338852160 is 61258833.

It can be written as a sum of positive squares in 4 ways, for example, as 54997056 + 283855104 = 7416^2 + 16848^2 .

It is a super-2 number, since 2×338852160² = 229641572673331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 440256 + ... + 441024.

It is an arithmetic number, because the mean of its divisors is an integer number (4563999).

Almost surely, 2^338852160 is an apocalyptic number.

338852160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638959860).

338852160 is an abundant number, since it is smaller than the sum of its proper divisors (939067560).

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

338852160 is a wasteful number, since it uses less digits than its factorization.

338852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 338852160 is about 18407.9374184073. The cubic root of 338852160 is about 697.1668891525.

The spelling of 338852160 in words is "three hundred thirty-eight million, eight hundred fifty-two thousand, one hundred sixty".