338354120 has 64 divisors (see below), whose sum is σ = 835395120. Its totient is φ = 122563584.

The previous prime is 338354113. The next prime is 338354131. The reversal of 338354120 is 21453833.

338354120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 48469444 + 289884676 = 6962^2 + 17026^2 .

It is a super-2 number, since 2×338354120² = 228967021041948800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21422 + ... + 33698.

Almost surely, 2^338354120 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 338354120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417697560).

338354120 is an abundant number, since it is smaller than the sum of its proper divisors (497041000).

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

338354120 is a wasteful number, since it uses less digits than its factorization.

338354120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12354 (or 12350 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 338354120 is about 18394.4045840033. The cubic root of 338354120 is about 696.8251597406.

The spelling of 338354120 in words is "three hundred thirty-eight million, three hundred fifty-four thousand, one hundred twenty".