344104599312 has 120 divisors (see below), whose sum is σ = 973385711480. Its totient is φ = 113467392000.

The previous prime is 344104599281. The next prime is 344104599317. The reversal of 344104599312 is 213995401443.

344104599312 is a `hidden beast` number, since 3 + 4 + 41 + 0 + 4 + 599 + 3 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5478368256 + 338626231056 = 74016^2 + 581916^2 .

It is not an unprimeable number, because it can be changed into a prime (344104599317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41913864 + ... + 41922072.

Almost surely, 2^344104599312 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 344104599312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486692855740).

344104599312 is an abundant number, since it is smaller than the sum of its proper divisors (629281112168).

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

344104599312 is a wasteful number, since it uses less digits than its factorization.

344104599312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11321 (or 11312 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 344104599312 in words is "three hundred forty-four billion, one hundred four million, five hundred ninety-nine thousand, three hundred twelve".