352960405839360 has 1600 divisors, whose sum is σ = 1466713283270400. Its totient is φ = 80176085729280.

The previous prime is 352960405839359. The next prime is 352960405839413. The reversal of 352960405839360 is 63938504069253.

352960405839360 is a `hidden beast` number, since 3 + 5 + 2 + 9 + 6 + 0 + 40 + 583 + 9 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×352960405839360² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8802204591 + ... + 8802244689.

It is an arithmetic number, because the mean of its divisors is an integer number (916695802044).

Almost surely, 2^{352960405839360} is an apocalyptic number.

352960405839360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352960405839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733356641635200).

352960405839360 is an abundant number, since it is smaller than the sum of its proper divisors (1113752877431040).

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

352960405839360 is a wasteful number, since it uses less digits than its factorization.

352960405839360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40389 (or 40364 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 352960405839360 in words is "three hundred fifty-two trillion, nine hundred sixty billion, four hundred five million, eight hundred thirty-nine thousand, three hundred sixty".