345790776567600 has 960 divisors, whose sum is σ = 1563644355911680. Its totient is φ = 70604562124800.

The previous prime is 345790776567499. The next prime is 345790776567673. The reversal of 345790776567600 is 6765677097543.

345790776567600 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 9 + 0 + 7 + 7 + 6 + 5 + 6 + 7 + 600 = 666.

It is a super-2 number, since 2×345790776567600² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24791922 + ... + 36141678.

Almost surely, 2^{345790776567600} is an apocalyptic number.

345790776567600 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 345790776567600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781822177955840).

345790776567600 is an abundant number, since it is smaller than the sum of its proper divisors (1217853579344080).

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

345790776567600 is a wasteful number, since it uses less digits than its factorization.

345790776567600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11349835 (or 11349818 counting only the distinct ones).

The product of its (nonzero) digits is 1400263200, while the sum is 72.

The spelling of 345790776567600 in words is "three hundred forty-five trillion, seven hundred ninety billion, seven hundred seventy-six million, five hundred sixty-seven thousand, six hundred".