344401340000 has 120 divisors (see below), whose sum is σ = 851546480400. Its totient is φ = 137066688000.

The previous prime is 344401339993. The next prime is 344401340011. The reversal of 344401340000 is 43104443.

It is a super-2 number, since 2×344401340000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3936734 + ... + 4023266.

It is an arithmetic number, because the mean of its divisors is an integer number (7096220670).

Almost surely, 2^344401340000 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 344401340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425773240200).

344401340000 is an abundant number, since it is smaller than the sum of its proper divisors (507145140400).

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

344401340000 is an equidigital number, since it uses as much as digits as its factorization.

344401340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86762 (or 86739 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 344401340000 its reverse (43104443), we get a palindrome (344444444443).

The spelling of 344401340000 in words is "three hundred forty-four billion, four hundred one million, three hundred forty thousand".