338139400 has 48 divisors (see below), whose sum is σ = 787421700. Its totient is φ = 135041280.

The previous prime is 338139379. The next prime is 338139457. The reversal of 338139400 is 4931833.

It can be written as a sum of positive squares in 6 ways, for example, as 27604516 + 310534884 = 5254^2 + 17622^2 .

It is a super-2 number, since 2×338139400² = 228676507664720000, 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 11 ways as a sum of consecutive naturals, for example, 201766 + ... + 203434.

Almost surely, 2^338139400 is an apocalyptic number.

It is an amenable number.

338139400 is an abundant number, since it is smaller than the sum of its proper divisors (449282300).

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

338139400 is a wasteful number, since it uses less digits than its factorization.

338139400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 338139400 is about 18388.5671002392. The cubic root of 338139400 is about 696.6777264739.

The spelling of 338139400 in words is "three hundred thirty-eight million, one hundred thirty-nine thousand, four hundred".