345475584 has 160 divisors (see below), whose sum is σ = 1040677440. Its totient is φ = 113135616.

The previous prime is 345475577. The next prime is 345475601. The reversal of 345475584 is 485574543.

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, 926022 + ... + 926394.

It is an arithmetic number, because the mean of its divisors is an integer number (6504234).

Almost surely, 2^345475584 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 345475584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520338720).

345475584 is an abundant number, since it is smaller than the sum of its proper divisors (695201856).

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

345475584 is an equidigital number, since it uses as much as digits as its factorization.

345475584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 445 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The square root of 345475584 is about 18586.9735029671. The cubic root of 345475584 is about 701.6800353528.

The spelling of 345475584 in words is "three hundred forty-five million, four hundred seventy-five thousand, five hundred eighty-four".