345664256 has 72 divisors (see below), whose sum is σ = 800593920. Its totient is φ = 145880064.

The previous prime is 345664237. The next prime is 345664259. The reversal of 345664256 is 652466543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (345664259) 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 7 ways as a sum of consecutive naturals, for example, 118625 + ... + 121503.

It is an arithmetic number, because the mean of its divisors is an integer number (11119360).

Almost surely, 2^345664256 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 345664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400296960).

345664256 is an abundant number, since it is smaller than the sum of its proper divisors (454929664).

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

345664256 is an equidigital number, since it uses as much as digits as its factorization.

345664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2955 counting only the distinct ones).

The product of its digits is 518400, while the sum is 41.

The square root of 345664256 is about 18592.0481927086. The cubic root of 345664256 is about 701.8077465324.

The spelling of 345664256 in words is "three hundred forty-five million, six hundred sixty-four thousand, two hundred fifty-six".