3112768032 has 96 divisors (see below), whose sum is σ = 9201475584. Its totient is φ = 912825600.

The previous prime is 3112768019. The next prime is 3112768039. The reversal of 3112768032 is 2308672113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3112767984 and 3112768002.

It is not an unprimeable number, because it can be changed into a prime (3112768039) 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 15 ways as a sum of consecutive naturals, for example, 14808 + ... + 80279.

It is an arithmetic number, because the mean of its divisors is an integer number (95848704).

Almost surely, 2^3112768032 is an apocalyptic number.

3112768032 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 3112768032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600737792).

3112768032 is an abundant number, since it is smaller than the sum of its proper divisors (6088707552).

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

3112768032 is a wasteful number, since it uses less digits than its factorization.

3112768032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95142 (or 95134 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3112768032 is about 55792.1861195634. The cubic root of 3112768032 is about 1460.0988286137.

The spelling of 3112768032 in words is "three billion, one hundred twelve million, seven hundred sixty-eight thousand, thirty-two".