345002560 has 224 divisors, whose sum is σ = 1000719360. Its totient is φ = 110788608.

The previous prime is 345002557. The next prime is 345002617. The reversal of 345002560 is 65200543.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3053064 + ... + 3053176.

Almost surely, 2^345002560 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 345002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500359680).

345002560 is an abundant number, since it is smaller than the sum of its proper divisors (655716800).

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

345002560 is a wasteful number, since it uses less digits than its factorization.

345002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 345002560 is about 18574.2445337623. The cubic root of 345002560 is about 701.3596431053.

The spelling of 345002560 in words is "three hundred forty-five million, two thousand, five hundred sixty".