3112005744 has 240 divisors, whose sum is σ = 9622995200. Its totient is φ = 970818048.

The previous prime is 3112005733. The next prime is 3112005751. The reversal of 3112005744 is 4475002113.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7608612 + ... + 7609020.

Almost surely, 2^3112005744 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 3112005744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811497600).

3112005744 is an abundant number, since it is smaller than the sum of its proper divisors (6510989456).

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

3112005744 is a wasteful number, since it uses less digits than its factorization.

3112005744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3112005744 is about 55785.3542069959. The cubic root of 3112005744 is about 1459.9796306660.

Adding to 3112005744 its reverse (4475002113), we get a palindrome (7587007857).

The spelling of 3112005744 in words is "three billion, one hundred twelve million, five thousand, seven hundred forty-four".