344032344242000 has 320 divisors, whose sum is σ = 859184896647168. Its totient is φ = 133137043200000.

The previous prime is 344032344241997. The next prime is 344032344242047. The reversal of 344032344242000 is 242443230443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54599638850 + ... + 54599645150.

Almost surely, 2^{344032344242000} 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 344032344242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429592448323584).

344032344242000 is an abundant number, since it is smaller than the sum of its proper divisors (515152552405168).

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

344032344242000 is a wasteful number, since it uses less digits than its factorization.

344032344242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10399 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 35.

Adding to 344032344242000 its reverse (242443230443), we get a palindrome (344274787472443).

The spelling of 344032344242000 in words is "three hundred forty-four trillion, thirty-two billion, three hundred forty-four million, two hundred forty-two thousand".