3112240032 has 288 divisors, whose sum is σ = 10186839936. Its totient is φ = 899543040.

The previous prime is 3112240007. The next prime is 3112240037. The reversal of 3112240032 is 2300422113.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3112240032² = 19372076033566722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3112239987 and 3112240014.

It is not an unprimeable number, because it can be changed into a prime (3112240037) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8816368 + ... + 8816720.

It is an arithmetic number, because the mean of its divisors is an integer number (35370972).

Almost surely, 2^3112240032 is an apocalyptic number.

3112240032 is a gapful number since it is divisible by the number (32) 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 3112240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093419968).

3112240032 is an abundant number, since it is smaller than the sum of its proper divisors (7074599904).

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

3112240032 is a wasteful number, since it uses less digits than its factorization.

3112240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3112240032 is about 55787.4540734743. The cubic root of 3112240032 is about 1460.0162680367.

Adding to 3112240032 its reverse (2300422113), we get a palindrome (5412662145).

The spelling of 3112240032 in words is "three billion, one hundred twelve million, two hundred forty thousand, thirty-two".