345956256 has 144 divisors (see below), whose sum is σ = 1096804800. Its totient is φ = 102795264.

The previous prime is 345956243. The next prime is 345956291. The reversal of 345956256 is 652659543.

345956256 is a `hidden beast` number, since 3 + 4 + 595 + 6 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91165 + ... + 94883.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2^345956256 is an apocalyptic number.

345956256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345956256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548402400).

345956256 is an abundant number, since it is smaller than the sum of its proper divisors (750848544).

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

345956256 is a wasteful number, since it uses less digits than its factorization.

345956256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3760 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 345956256 is about 18599.8993545664. The cubic root of 345956256 is about 702.0053083583.

The spelling of 345956256 in words is "three hundred forty-five million, nine hundred fifty-six thousand, two hundred fifty-six".