345609288 has 64 divisors (see below), whose sum is σ = 962236800. Its totient is φ = 114937920.

The previous prime is 345609263. The next prime is 345609289. The reversal of 345609288 is 882906543.

345609288 is a `hidden beast` number, since 3 + 4 + 560 + 9 + 2 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (345609289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107058 + ... + 110238.

It is an arithmetic number, because the mean of its divisors is an integer number (15034950).

Almost surely, 2^345609288 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 345609288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481118400).

345609288 is an abundant number, since it is smaller than the sum of its proper divisors (616627512).

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

345609288 is a wasteful number, since it uses less digits than its factorization.

345609288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 345609288 is about 18590.5698675431. The cubic root of 345609288 is about 701.7705437529.

The spelling of 345609288 in words is "three hundred forty-five million, six hundred nine thousand, two hundred eighty-eight".