345866816 has 56 divisors (see below), whose sum is σ = 711448920. Its totient is φ = 166707200.

The previous prime is 345866809. The next prime is 345866821. The reversal of 345866816 is 618668543.

It can be written as a sum of positive squares in 4 ways, for example, as 2876416 + 342990400 = 1696^2 + 18520^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232796 + ... + 234276.

It is an arithmetic number, because the mean of its divisors is an integer number (12704445).

Almost surely, 2^345866816 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 345866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355724460).

345866816 is an abundant number, since it is smaller than the sum of its proper divisors (365582104).

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

345866816 is a wasteful number, since it uses less digits than its factorization.

345866816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1613 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 345866816 is about 18597.4948850645. The cubic root of 345866816 is about 701.9448067147.

The spelling of 345866816 in words is "three hundred forty-five million, eight hundred sixty-six thousand, eight hundred sixteen".