344074231133000 has 128 divisors (see below), whose sum is σ = 815470581369600. Its totient is φ = 135867606336000.

The previous prime is 344074231132981. The next prime is 344074231133033. The reversal of 344074231133000 is 331132470443.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53095607 + ... + 59222393.

It is an arithmetic number, because the mean of its divisors is an integer number (6370863916950).

Almost surely, 2^{344074231133000} 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 344074231133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407735290684800).

344074231133000 is an abundant number, since it is smaller than the sum of its proper divisors (471396350236600).

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

344074231133000 is a wasteful number, since it uses less digits than its factorization.

344074231133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127528 (or 6127514 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The spelling of 344074231133000 in words is "three hundred forty-four trillion, seventy-four billion, two hundred thirty-one million, one hundred thirty-three thousand".