338979745728 has 126 divisors (see below), whose sum is σ = 1052114120304. Its totient is φ = 104301430272.

The previous prime is 338979745711. The next prime is 338979745729. The reversal of 338979745728 is 827547979833.

338979745728 is a `hidden beast` number, since 3 + 3 + 89 + 7 + 97 + 457 + 2 + 8 = 666.

It is a super-2 number, since 2×338979745728² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338979745729) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1643800 + ... + 1838487.

Almost surely, 2^338979745728 is an apocalyptic number.

It is an amenable number.

338979745728 is an abundant number, since it is smaller than the sum of its proper divisors (713134374576).

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

338979745728 is a wasteful number, since it uses less digits than its factorization.

338979745728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482331 (or 3482305 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 338979745728 in words is "three hundred thirty-eight billion, nine hundred seventy-nine million, seven hundred forty-five thousand, seven hundred twenty-eight".