352360894747680 has 432 divisors, whose sum is σ = 1506342828967704. Its totient is φ = 74344276500480.

The previous prime is 352360894747627. The next prime is 352360894747783. The reversal of 352360894747680 is 86747498063253.

352360894747680 is a `hidden beast` number, since 3 + 5 + 2 + 3 + 6 + 0 + 8 + 9 + 474 + 76 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 298124563168656 + 54236331579024 = 17266284^2 + 7364532^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 352360894747599 and 352360894747608.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191151061 + ... + 192985620.

Almost surely, 2^{352360894747680} is an apocalyptic number.

352360894747680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352360894747680 is an abundant number, since it is smaller than the sum of its proper divisors (1153981934220024).

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

352360894747680 is a wasteful number, since it uses less digits than its factorization.

352360894747680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384136729 (or 384136711 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 352360894747680 in words is "three hundred fifty-two trillion, three hundred sixty billion, eight hundred ninety-four million, seven hundred forty-seven thousand, six hundred eighty".