344444350304 has 96 divisors (see below), whose sum is σ = 732126890880. Its totient is φ = 158990211072.

The previous prime is 344444350303. The next prime is 344444350331. The reversal of 344444350304 is 403053444443.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344444350303) 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 15 ways as a sum of consecutive naturals, for example, 11305139 + ... + 11335565.

It is an arithmetic number, because the mean of its divisors is an integer number (7626321780).

Almost surely, 2^344444350304 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 344444350304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366063445440).

344444350304 is an abundant number, since it is smaller than the sum of its proper divisors (387682540576).

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

344444350304 is a wasteful number, since it uses less digits than its factorization.

344444350304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30932 (or 30924 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 38.

Adding to 344444350304 its reverse (403053444443), we get a palindrome (747497794747).

The spelling of 344444350304 in words is "three hundred forty-four billion, four hundred forty-four million, three hundred fifty thousand, three hundred four".