338080 has 24 divisors (see below), whose sum is σ = 799092. Its totient is φ = 135168.

The previous prime is 338033. The next prime is 338119. The reversal of 338080 is 80833.

It can be written as a sum of positive squares in 2 ways, for example, as 274576 + 63504 = 524^2 + 252^2 .

It is a super-2 number, since 2×338080² = 228596172800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 897 + ... + 1216.

2³³⁸⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

338080 is an abundant number, since it is smaller than the sum of its proper divisors (461012).

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

338080 is a wasteful number, since it uses less digits than its factorization.

338080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 338080 is about 581.4464721709. The cubic root of 338080 is about 69.6636929611.

It can be divided in two parts, 3380 and 80, that multiplied together give a square (270400 = 520²).

The spelling of 338080 in words is "three hundred thirty-eight thousand, eighty".