345217138344 has 96 divisors (see below), whose sum is σ = 1007002924200. Its totient is φ = 106208040960.

The previous prime is 345217138319. The next prime is 345217138363. The reversal of 345217138344 is 443831712543.

It is a happy number.

345217138344 is a `hidden beast` number, since 3 + 4 + 521 + 7 + 1 + 3 + 83 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 320965305444 + 24251832900 = 566538^2 + 155730^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 345217138344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10625164 + ... + 10657604.

Almost surely, 2^345217138344 is an apocalyptic number.

It is an amenable number.

345217138344 is an abundant number, since it is smaller than the sum of its proper divisors (661785785856).

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

345217138344 is a wasteful number, since it uses less digits than its factorization.

345217138344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43835 (or 43828 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 345217138344 in words is "three hundred forty-five billion, two hundred seventeen million, one hundred thirty-eight thousand, three hundred forty-four".