338828832 has 120 divisors (see below), whose sum is σ = 1023707916. Its totient is φ = 109859328.

The previous prime is 338828821. The next prime is 338828851. The reversal of 338828832 is 238828833.

It is a happy number.

338828832 is a `hidden beast` number, since 338 + 8 + 288 + 32 = 666.

338828832 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 287505936 + 51322896 = 16956^2 + 7164^2 .

It is a super-2 number, since 2×338828832² = 229609954788968448, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94138 + ... + 97670.

Almost surely, 2^338828832 is an apocalyptic number.

338828832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338828832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511853958).

338828832 is an abundant number, since it is smaller than the sum of its proper divisors (684879084).

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

338828832 is a wasteful number, since it uses less digits than its factorization.

338828832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3575 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 338828832 is about 18407.3037677983. The cubic root of 338828832 is about 697.1508901571.

Subtracting from 338828832 its reverse (238828833), we obtain a palindrome (99999999).

The spelling of 338828832 in words is "three hundred thirty-eight million, eight hundred twenty-eight thousand, eight hundred thirty-two".