344434003300000 has 576 divisors, whose sum is σ = 899356645490688. Its totient is φ = 129633436800000.

The previous prime is 344434003299961. The next prime is 344434003300019. The reversal of 344434003300000 is 3300434443.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29725894207 + ... + 29725905793.

It is an arithmetic number, because the mean of its divisors is an integer number (1561383065088).

Almost surely, 2^{344434003300000} 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 344434003300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449678322745344).

344434003300000 is an abundant number, since it is smaller than the sum of its proper divisors (554922642190688).

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

344434003300000 is a wasteful number, since it uses less digits than its factorization.

344434003300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11919 (or 11891 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 344434003300000 its reverse (3300434443), we get a palindrome (344437303734443).

The spelling of 344434003300000 in words is "three hundred forty-four trillion, four hundred thirty-four billion, three million, three hundred thousand".