345714816 has 64 divisors (see below), whose sum is σ = 933422400. Its totient is φ = 113341440.

The previous prime is 345714779. The next prime is 345714827. The reversal of 345714816 is 618417543.

It is a tau number, because it is divible by the number of its divisors (64).

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, 16045 + ... + 30803.

It is an arithmetic number, because the mean of its divisors is an integer number (14584725).

Almost surely, 2^345714816 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 345714816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466711200).

345714816 is an abundant number, since it is smaller than the sum of its proper divisors (587707584).

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

345714816 is a wasteful number, since it uses less digits than its factorization.

345714816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14837 (or 14825 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 345714816 is about 18593.4078640791. The cubic root of 345714816 is about 701.8419624602.

The spelling of 345714816 in words is "three hundred forty-five million, seven hundred fourteen thousand, eight hundred sixteen".