345660560 has 160 divisors (see below), whose sum is σ = 980508672. Its totient is φ = 110753280.

The previous prime is 345660551. The next prime is 345660569. The reversal of 345660560 is 65066543.

It is an interprime number because it is at equal distance from previous prime (345660551) and next prime (345660569).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 345660560.

It is not an unprimeable number, because it can be changed into a prime (345660569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605075 + ... + 605645.

Almost surely, 2^345660560 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 345660560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490254336).

345660560 is an abundant number, since it is smaller than the sum of its proper divisors (634848112).

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

345660560 is a wasteful number, since it uses less digits than its factorization.

345660560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 345660560 is about 18591.9487951102. The cubic root of 345660560 is about 701.8052451739.

The spelling of 345660560 in words is "three hundred forty-five million, six hundred sixty thousand, five hundred sixty".