352799703360 has 448 divisors, whose sum is σ = 1410889939200. Its totient is φ = 82271821824.

The previous prime is 352799703353. The next prime is 352799703391. The reversal of 352799703360 is 63307997253.

352799703360 is a `hidden beast` number, since 3 + 5 + 279 + 9 + 7 + 0 + 3 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 352799703297 and 352799703306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2051422 + ... + 2216738.

It is an arithmetic number, because the mean of its divisors is an integer number (3149307900).

Almost surely, 2^352799703360 is an apocalyptic number.

352799703360 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 352799703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705444969600).

352799703360 is an abundant number, since it is smaller than the sum of its proper divisors (1058090235840).

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

352799703360 is a wasteful number, since it uses less digits than its factorization.

352799703360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165375 (or 165359 counting only the distinct ones).

The product of its (nonzero) digits is 6429780, while the sum is 54.

The spelling of 352799703360 in words is "three hundred fifty-two billion, seven hundred ninety-nine million, seven hundred three thousand, three hundred sixty".