345809712 has 80 divisors (see below), whose sum is σ = 926385152. Its totient is φ = 111041280.

The previous prime is 345809707. The next prime is 345809749. The reversal of 345809712 is 217908543.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456438 + ... + 457194.

Almost surely, 2^345809712 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 345809712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463192576).

345809712 is an abundant number, since it is smaller than the sum of its proper divisors (580575440).

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

345809712 is a wasteful number, since it uses less digits than its factorization.

345809712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 345809712 is about 18595.9595611520. The cubic root of 345809712 is about 701.9061732864.

The spelling of 345809712 in words is "three hundred forty-five million, eight hundred nine thousand, seven hundred twelve".