345604100256 has 72 divisors (see below), whose sum is σ = 990550439424. Its totient is φ = 114294257280.

The previous prime is 345604100249. The next prime is 345604100311. The reversal of 345604100256 is 652001406543.

345604100256 is a `hidden beast` number, since 3 + 4 + 560 + 41 + 0 + 0 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×345604100256² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 345604100256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4687890 + ... + 4761041.

It is an arithmetic number, because the mean of its divisors is an integer number (13757644992).

Almost surely, 2^345604100256 is an apocalyptic number.

345604100256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345604100256 is an abundant number, since it is smaller than the sum of its proper divisors (644946339168).

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

345604100256 is a wasteful number, since it uses less digits than its factorization.

345604100256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9449074 (or 9449063 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 345604100256 its reverse (652001406543), we get a palindrome (997605506799).

The spelling of 345604100256 in words is "three hundred forty-five billion, six hundred four million, one hundred thousand, two hundred fifty-six".