338380 has 24 divisors (see below), whose sum is σ = 812448. Its totient is φ = 115968.

The previous prime is 338369. The next prime is 338383. The reversal of 338380 is 83833.

It is a super-2 number, since 2×338380² = 229002048800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338383) by changing a digit.

338380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1069 + ... + 1348.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

2³³⁸³⁸⁰ is an apocalyptic number.

It is an amenable number.

338380 is an abundant number, since it is smaller than the sum of its proper divisors (474068).

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

338380 is a wasteful number, since it uses less digits than its factorization.

338380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 338380 is about 581.7043922819. The cubic root of 338380 is about 69.6842925521.

It can be divided in two parts, 3 and 38380, that added together give a palindrome (38383).

The spelling of 338380 in words is "three hundred thirty-eight thousand, three hundred eighty".