344104104000 has 448 divisors, whose sum is σ = 1188643921920. Its totient is φ = 87548876800.

The previous prime is 344104103999. The next prime is 344104104053. The reversal of 344104104000 is 401401443.

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, 410135581 + ... + 410136419.

It is an arithmetic number, because the mean of its divisors is an integer number (2653223040).

Almost surely, 2^344104104000 is an apocalyptic number.

344104104000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344104104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594321960960).

344104104000 is an abundant number, since it is smaller than the sum of its proper divisors (844539817920).

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

344104104000 is a wasteful number, since it uses less digits than its factorization.

344104104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 344104104000 its reverse (401401443), we get a palindrome (344505505443).

The spelling of 344104104000 in words is "three hundred forty-four billion, one hundred four million, one hundred four thousand".