345768770560 has 88 divisors (see below), whose sum is σ = 834408620640. Its totient is φ = 137478979584.

The previous prime is 345768770539. The next prime is 345768770569. The reversal of 345768770560 is 65077867543.

It is a junction number, because it is equal to n+sod(n) for n = 345768770495 and 345768770504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345768770569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 652846 + ... + 1057234.

Almost surely, 2^345768770560 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 345768770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417204310320).

345768770560 is an abundant number, since it is smaller than the sum of its proper divisors (488639850080).

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

345768770560 is a wasteful number, since it uses less digits than its factorization.

345768770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404581 (or 404563 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 58.

The spelling of 345768770560 in words is "three hundred forty-five billion, seven hundred sixty-eight million, seven hundred seventy thousand, five hundred sixty".