344224305440 has 96 divisors (see below), whose sum is σ = 823128188400. Its totient is φ = 136019968000.

The previous prime is 344224305413. The next prime is 344224305463. The reversal of 344224305440 is 44503422443.

It can be written as a sum of positive squares in 8 ways, for example, as 245258695696 + 98965609744 = 495236^2 + 314588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 344224305440.

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 15 ways as a sum of consecutive naturals, for example, 7232120 + ... + 7279560.

Almost surely, 2^344224305440 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 344224305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411564094200).

344224305440 is an abundant number, since it is smaller than the sum of its proper divisors (478903882960).

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

344224305440 is a wasteful number, since it uses less digits than its factorization.

344224305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48006 (or 47998 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 35.

Adding to 344224305440 its reverse (44503422443), we get a palindrome (388727727883).

The spelling of 344224305440 in words is "three hundred forty-four billion, two hundred twenty-four million, three hundred five thousand, four hundred forty".