345564024 has 128 divisors (see below), whose sum is σ = 963271680. Its totient is φ = 102643200.

The previous prime is 345564019. The next prime is 345564041. The reversal of 345564024 is 420465543.

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, 1275009 + ... + 1275279.

It is an arithmetic number, because the mean of its divisors is an integer number (7525560).

Almost surely, 2^345564024 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 345564024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481635840).

345564024 is an abundant number, since it is smaller than the sum of its proper divisors (617707656).

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

345564024 is a wasteful number, since it uses less digits than its factorization.

345564024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 345564024 is about 18589.3524362738. The cubic root of 345564024 is about 701.7399057562.

The spelling of 345564024 in words is "three hundred forty-five million, five hundred sixty-four thousand, twenty-four".