346556580864 has 528 divisors, whose sum is σ = 1052383071744. Its totient is φ = 101213798400.

The previous prime is 346556580829. The next prime is 346556580901. The reversal of 346556580864 is 468085655643.

It is a junction number, because it is equal to n+sod(n) for n = 346556580798 and 346556580807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981746512 + ... + 981746864.

Almost surely, 2^346556580864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346556580864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526191535872).

346556580864 is an abundant number, since it is smaller than the sum of its proper divisors (705826490880).

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

346556580864 is a wasteful number, since it uses less digits than its factorization.

346556580864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 60.

The spelling of 346556580864 in words is "three hundred forty-six billion, five hundred fifty-six million, five hundred eighty thousand, eight hundred sixty-four".