338213824 has 28 divisors (see below), whose sum is σ = 722771224. Its totient is φ = 156098304.

The previous prime is 338213819. The next prime is 338213849. The reversal of 338213824 is 428312833.

338213824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338213824² = 228777181489405952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338213824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 202422 + ... + 204085.

It is an arithmetic number, because the mean of its divisors is an integer number (25813258).

Almost surely, 2^338213824 is an apocalyptic number.

It is an amenable number.

338213824 is an abundant number, since it is smaller than the sum of its proper divisors (384557400).

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

338213824 is a wasteful number, since it uses less digits than its factorization.

338213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406532 (or 406522 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 338213824 is about 18390.5906376060. The cubic root of 338213824 is about 696.7288353160.

Subtracting 338213824 from its reverse (428312833), we obtain a palindrome (90099009).

The spelling of 338213824 in words is "three hundred thirty-eight million, two hundred thirteen thousand, eight hundred twenty-four".