338832680 has 64 divisors (see below), whose sum is σ = 787968000. Its totient is φ = 131030784.

The previous prime is 338832677. The next prime is 338832691. The reversal of 338832680 is 86238833.

It is a super-2 number, since 2×338832680² = 229615170071964800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264281 + ... + 265559.

It is an arithmetic number, because the mean of its divisors is an integer number (12312000).

Almost surely, 2^338832680 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 338832680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393984000).

338832680 is an abundant number, since it is smaller than the sum of its proper divisors (449135320).

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

338832680 is a wasteful number, since it uses less digits than its factorization.

338832680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 338832680 is about 18407.4082912288. The cubic root of 338832680 is about 697.1535292738.

It can be divided in two parts, 33883 and 2680, that added together give a palindrome (36563).

The spelling of 338832680 in words is "three hundred thirty-eight million, eight hundred thirty-two thousand, six hundred eighty".