3000444340000 has 120 divisors (see below), whose sum is σ = 7388552553228. Its totient is φ = 1199038080000.

The previous prime is 3000444339989. The next prime is 3000444340001. The reversal of 3000444340000 is 434440003.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 21962054416 + 2978482285584 = 148196^2 + 1725828^2 .

It is not an unprimeable number, because it can be changed into a prime (3000444340001) by changing a digit.

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, 21149302 + ... + 21290698.

Almost surely, 2^{3000444340000} 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 3000444340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694276276614).

3000444340000 is an abundant number, since it is smaller than the sum of its proper divisors (4388108213228).

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

3000444340000 is a wasteful number, since it uses less digits than its factorization.

3000444340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142488 (or 142465 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 3000444340000 its reverse (434440003), we get a palindrome (3000878780003).

The spelling of 3000444340000 in words is "three trillion, four hundred forty-four million, three hundred forty thousand".