345866304 has 168 divisors, whose sum is σ = 1078321440. Its totient is φ = 97542144.

The previous prime is 345866299. The next prime is 345866327. The reversal of 345866304 is 403668543.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 912387 + ... + 912765.

It is an arithmetic number, because the mean of its divisors is an integer number (6418580).

Almost surely, 2^345866304 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 345866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539160720).

345866304 is an abundant number, since it is smaller than the sum of its proper divisors (732455136).

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

345866304 is a wasteful number, since it uses less digits than its factorization.

345866304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 345866304 is about 18597.4811197646. The cubic root of 345866304 is about 701.9444603425.

The spelling of 345866304 in words is "three hundred forty-five million, eight hundred sixty-six thousand, three hundred four".