338839027424 has 48 divisors (see below), whose sum is σ = 685485990000. Its totient is φ = 164752257024.

The previous prime is 338839027403. The next prime is 338839027451. The reversal of 338839027424 is 424720938833.

It is a super-2 number, since 2×338839027424² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2160827 + ... + 2312325.

It is an arithmetic number, because the mean of its divisors is an integer number (14280958125).

Almost surely, 2^338839027424 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 338839027424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342742995000).

338839027424 is an abundant number, since it is smaller than the sum of its proper divisors (346646962576).

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

338839027424 is a wasteful number, since it uses less digits than its factorization.

338839027424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153435 (or 153427 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 53.

The spelling of 338839027424 in words is "three hundred thirty-eight billion, eight hundred thirty-nine million, twenty-seven thousand, four hundred twenty-four".