345294368 has 48 divisors (see below), whose sum is σ = 709793280. Its totient is φ = 165158400.

The previous prime is 345294319. The next prime is 345294409. The reversal of 345294368 is 863492543.

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, 86333 + ... + 90243.

It is an arithmetic number, because the mean of its divisors is an integer number (14787360).

Almost surely, 2^345294368 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 345294368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354896640).

345294368 is an abundant number, since it is smaller than the sum of its proper divisors (364498912).

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

345294368 is a wasteful number, since it uses less digits than its factorization.

345294368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4033 counting only the distinct ones).

The product of its digits is 622080, while the sum is 44.

The square root of 345294368 is about 18582.0980516195. The cubic root of 345294368 is about 701.5573273194.

The spelling of 345294368 in words is "three hundred forty-five million, two hundred ninety-four thousand, three hundred sixty-eight".