344142244000 has 192 divisors, whose sum is σ = 870475237632. Its totient is φ = 133639296000.

The previous prime is 344142243983. The next prime is 344142244013. The reversal of 344142244000 is 442241443.

It is a self number, because there is not a number n which added to its sum of digits gives 344142244000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28718010 + ... + 28729990.

It is an arithmetic number, because the mean of its divisors is an integer number (4533725196).

Almost surely, 2^344142244000 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 344142244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435237618816).

344142244000 is an abundant number, since it is smaller than the sum of its proper divisors (526332993632).

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

344142244000 is a wasteful number, since it uses less digits than its factorization.

344142244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12216 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 344142244000 its reverse (442241443), we get a palindrome (344584485443).

The spelling of 344142244000 in words is "three hundred forty-four billion, one hundred forty-two million, two hundred forty-four thousand".