345797595279360 has 1144 divisors, whose sum is σ = 1422563229434400. Its totient is φ = 79037515431936.

The previous prime is 345797595279289. The next prime is 345797595279379. The reversal of 345797595279360 is 63972595797543.

345797595279360 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 9 + 7 + 59 + 527 + 9 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 345797595279360.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 8465244216 + ... + 8465285064.

Almost surely, 2^{345797595279360} is an apocalyptic number.

345797595279360 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 345797595279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711281614717200).

345797595279360 is an abundant number, since it is smaller than the sum of its proper divisors (1076765634155040).

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

345797595279360 is an frugal number, since it uses more digits than its factorization.

345797595279360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40915 (or 40866 counting only the distinct ones).

The product of its (nonzero) digits is 13502538000, while the sum is 81.

The spelling of 345797595279360 in words is "three hundred forty-five trillion, seven hundred ninety-seven billion, five hundred ninety-five million, two hundred seventy-nine thousand, three hundred sixty".