345560709312 has 672 divisors, whose sum is σ = 1266395719680. Its totient is φ = 87625359360.

The previous prime is 345560709301. The next prime is 345560709313. The reversal of 345560709312 is 213907065543.

345560709312 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 607 + 0 + 9 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (345560709313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 703789387 + ... + 703789877.

It is an arithmetic number, because the mean of its divisors is an integer number (1884517440).

Almost surely, 2^345560709312 is an apocalyptic number.

345560709312 is a gapful number since it is divisible by the number (32) 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 345560709312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633197859840).

345560709312 is an abundant number, since it is smaller than the sum of its proper divisors (920835010368).

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

345560709312 is a wasteful number, since it uses less digits than its factorization.

345560709312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 345560709312 in words is "three hundred forty-five billion, five hundred sixty million, seven hundred nine thousand, three hundred twelve".