338381824 has 66 divisors (see below), whose sum is σ = 743789732. Its totient is φ = 153753600.

The previous prime is 338381807. The next prime is 338381851. The reversal of 338381824 is 428183833.

It is a super-2 number, since 2×338381824² = 229004517627133952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122539 + ... + 125269.

Almost surely, 2^338381824 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 338381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371894866).

338381824 is an abundant number, since it is smaller than the sum of its proper divisors (405407908).

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

338381824 is a wasteful number, since it uses less digits than its factorization.

338381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2744 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 338381824 is about 18395.1576236791. The cubic root of 338381824 is about 696.8441776041.

The spelling of 338381824 in words is "three hundred thirty-eight million, three hundred eighty-one thousand, eight hundred twenty-four".