3444242302000 has 80 divisors (see below), whose sum is σ = 8336586495744. Its totient is φ = 1376305920000.

The previous prime is 3444242301959. The next prime is 3444242302003. The reversal of 3444242302000 is 2032424443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3444242302000.

It is not an unprimeable number, because it can be changed into a prime (3444242302003) 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 15 ways as a sum of consecutive naturals, for example, 1113120 + ... + 2850880.

Almost surely, 2^{3444242302000} 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 3444242302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168293247872).

3444242302000 is an abundant number, since it is smaller than the sum of its proper divisors (4892344193744).

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

3444242302000 is a wasteful number, since it uses less digits than its factorization.

3444242302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738775 (or 1738759 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 3444242302000 its reverse (2032424443), we get a palindrome (3446274726443).

The spelling of 3444242302000 in words is "three trillion, four hundred forty-four billion, two hundred forty-two million, three hundred two thousand".