345709104 has 120 divisors (see below), whose sum is σ = 1018416960. Its totient is φ = 100728576.

The previous prime is 345709103. The next prime is 345709129. The reversal of 345709104 is 401907543.

It is not an unprimeable number, because it can be changed into a prime (345709103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153007 + ... + 155249.

It is an arithmetic number, because the mean of its divisors is an integer number (8486808).

Almost surely, 2^345709104 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 345709104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509208480).

345709104 is an abundant number, since it is smaller than the sum of its proper divisors (672707856).

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

345709104 is a wasteful number, since it uses less digits than its factorization.

345709104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 345709104 is about 18593.2542606183. The cubic root of 345709104 is about 701.8380970938.

The spelling of 345709104 in words is "three hundred forty-five million, seven hundred nine thousand, one hundred four".