338120 has 32 divisors (see below), whose sum is σ = 777600. Its totient is φ = 132288.

The previous prime is 338119. The next prime is 338137. The reversal of 338120 is 21833.

It is a super-2 number, since 2×338120² = 228650268800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3107 + ... + 3213.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2³³⁸¹²⁰ 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 338120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388800).

338120 is an abundant number, since it is smaller than the sum of its proper divisors (439480).

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

338120 is a wasteful number, since it uses less digits than its factorization.

338120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 338120 is about 581.4808681290. The cubic root of 338120 is about 69.6664402771. Note that the first 3 decimals are identical.

Adding to 338120 its reverse (21833), we get a palindrome (359953).

The spelling of 338120 in words is "three hundred thirty-eight thousand, one hundred twenty".