338274880 has 56 divisors (see below), whose sum is σ = 807460920. Its totient is φ = 134983680.

The previous prime is 338274847. The next prime is 338274931. The reversal of 338274880 is 88472833.

It can be written as a sum of positive squares in 4 ways, for example, as 95413824 + 242861056 = 9768^2 + 15584^2 .

It is a super-2 number, since 2×338274880² = 228859788878028800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165706 + ... + 167734.

It is an arithmetic number, because the mean of its divisors is an integer number (14418945).

Almost surely, 2^338274880 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 338274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403730460).

338274880 is an abundant number, since it is smaller than the sum of its proper divisors (469186040).

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

338274880 is a wasteful number, since it uses less digits than its factorization.

338274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 338274880 is about 18392.2505420082. The cubic root of 338274880 is about 696.7707584163.

The spelling of 338274880 in words is "three hundred thirty-eight million, two hundred seventy-four thousand, eight hundred eighty".