344423434240 has 96 divisors (see below), whose sum is σ = 827083497240. Its totient is φ = 137657843712.

The previous prime is 344423434181. The next prime is 344423434259. The reversal of 344423434240 is 42434324443.

It can be written as a sum of positive squares in 4 ways, for example, as 323751896064 + 20671538176 = 568992^2 + 143776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 344423434240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13268314 + ... + 13294246.

Almost surely, 2^344423434240 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 344423434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413541748620).

344423434240 is an abundant number, since it is smaller than the sum of its proper divisors (482660063000).

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

344423434240 is a wasteful number, since it uses less digits than its factorization.

344423434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27257 (or 27237 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 37.

Adding to 344423434240 its reverse (42434324443), we get a palindrome (386857758683).

The spelling of 344423434240 in words is "three hundred forty-four billion, four hundred twenty-three million, four hundred thirty-four thousand, two hundred forty".