345696592960 has 224 divisors, whose sum is σ = 846608578560. Its totient is φ = 134417307648.

The previous prime is 345696592949. The next prime is 345696592963. The reversal of 345696592960 is 69295696543.

It is a super-2 number, since 2×345696592960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 345696592892 and 345696592901.

It is not an unprimeable number, because it can be changed into a prime (345696592963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614025639 + ... + 614026201.

Almost surely, 2^345696592960 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 345696592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423304289280).

345696592960 is an abundant number, since it is smaller than the sum of its proper divisors (500911985600).

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

345696592960 is a wasteful number, since it uses less digits than its factorization.

345696592960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 64.

The spelling of 345696592960 in words is "three hundred forty-five billion, six hundred ninety-six million, five hundred ninety-two thousand, nine hundred sixty".