3112442144 has 72 divisors (see below), whose sum is σ = 7439322240. Its totient is φ = 1255412736.

The previous prime is 3112442111. The next prime is 3112442167. The reversal of 3112442144 is 4412442113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40697 + ... + 88775.

It is an arithmetic number, because the mean of its divisors is an integer number (103323920).

Almost surely, 2^3112442144 is an apocalyptic number.

3112442144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719661120).

3112442144 is an abundant number, since it is smaller than the sum of its proper divisors (4326880096).

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

3112442144 is a wasteful number, since it uses less digits than its factorization.

3112442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48130 (or 48105 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 3112442144 is about 55789.2654907734. The cubic root of 3112442144 is about 1460.0478723278.

Adding to 3112442144 its reverse (4412442113), we get a palindrome (7524884257).

The spelling of 3112442144 in words is "three billion, one hundred twelve million, four hundred forty-two thousand, one hundred forty-four".