344040442300 has 288 divisors, whose sum is σ = 856115205120. Its totient is φ = 119334758400.

The previous prime is 344040442261. The next prime is 344040442301. The reversal of 344040442300 is 3244040443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344040442301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94958289 + ... + 94961911.

It is an arithmetic number, because the mean of its divisors is an integer number (2972622240).

Almost surely, 2^344040442300 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 344040442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428057602560).

344040442300 is an abundant number, since it is smaller than the sum of its proper divisors (512074762820).

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

344040442300 is a wasteful number, since it uses less digits than its factorization.

344040442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3773 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 344040442300 its reverse (3244040443), we get a palindrome (347284482743).

The spelling of 344040442300 in words is "three hundred forty-four billion, forty million, four hundred forty-two thousand, three hundred".