344244442752 has 320 divisors, whose sum is σ = 1172829651840. Its totient is φ = 98186618880.

The previous prime is 344244442747. The next prime is 344244442769. The reversal of 344244442752 is 257244442443.

344244442752 is a `hidden beast` number, since 344 + 244 + 44 + 27 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 344244442698 and 344244442707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45791698 + ... + 45799214.

It is an arithmetic number, because the mean of its divisors is an integer number (3665092662).

Almost surely, 2^344244442752 is an apocalyptic number.

344244442752 is a gapful number since it is divisible by the number (32) 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 344244442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586414825920).

344244442752 is an abundant number, since it is smaller than the sum of its proper divisors (828585209088).

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

344244442752 is an equidigital number, since it uses as much as digits as its factorization.

344244442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8181 (or 8160 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 45.

The spelling of 344244442752 in words is "three hundred forty-four billion, two hundred forty-four million, four hundred forty-two thousand, seven hundred fifty-two".