3004442340312 has 256 divisors, whose sum is σ = 8715690547200. Its totient is φ = 845386813440.

The previous prime is 3004442340301. The next prime is 3004442340413. The reversal of 3004442340312 is 2130432444003.

It is a happy number.

It is a super-4 number, since 4×3004442340312⁴ (a number of 51 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3004442340312.

It is a congruent number.

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, 1713885228 + ... + 1713886980.

It is an arithmetic number, because the mean of its divisors is an integer number (34045666200).

Almost surely, 2^{3004442340312} 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 3004442340312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357845273600).

3004442340312 is an abundant number, since it is smaller than the sum of its proper divisors (5711248206888).

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

3004442340312 is a wasteful number, since it uses less digits than its factorization.

3004442340312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3004442340312 its reverse (2130432444003), we get a palindrome (5134874784315).

The spelling of 3004442340312 in words is "three trillion, four billion, four hundred forty-two million, three hundred forty thousand, three hundred twelve".