338385424 has 40 divisors (see below), whose sum is σ = 725153240. Its totient is φ = 151953408.

The previous prime is 338385409. The next prime is 338385457. The reversal of 338385424 is 424583833.

It can be written as a sum of positive squares in 4 ways, for example, as 81360400 + 257025024 = 9020^2 + 16032^2 .

It is a super-2 number, since 2×338385424² = 229009390351319552, 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 7 ways as a sum of consecutive naturals, for example, 14289 + ... + 29680.

It is an arithmetic number, because the mean of its divisors is an integer number (18128831).

Almost surely, 2^338385424 is an apocalyptic number.

It is an amenable number.

338385424 is an abundant number, since it is smaller than the sum of its proper divisors (386767816).

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

338385424 is a wasteful number, since it uses less digits than its factorization.

338385424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44027 (or 44021 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The square root of 338385424 is about 18395.2554752577. The cubic root of 338385424 is about 696.8466488067.

The spelling of 338385424 in words is "three hundred thirty-eight million, three hundred eighty-five thousand, four hundred twenty-four".