338832 has 60 divisors (see below), whose sum is σ = 1026844. Its totient is φ = 103680.

The previous prime is 338803. The next prime is 338839. The reversal of 338832 is 238833.

338832 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 2 ways, for example, as 20736 + 318096 = 144^2 + 564^2 .

It is a super-2 number, since 2×338832² = 229614248448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 338796 and 338805.

It is not an unprimeable number, because it can be changed into a prime (338839) by changing a digit.

338832 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 11 ways as a sum of consecutive naturals, for example, 1782 + ... + 1962.

2³³⁸⁸³² 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 338832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513422).

338832 is an abundant number, since it is smaller than the sum of its proper divisors (688012).

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

338832 is a wasteful number, since it uses less digits than its factorization.

338832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 338832 is about 582.0927761105. The cubic root of 338832 is about 69.7153062903.

Subtracting from 338832 its reverse (238833), we obtain a palindrome (99999).

The spelling of 338832 in words is "three hundred thirty-eight thousand, eight hundred thirty-two".