3009312 has 96 divisors (see below), whose sum is σ = 9092160. Its totient is φ = 979776.

The previous prime is 3009311. The next prime is 3009317. The reversal of 3009312 is 2139003.

3009312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (18).

It is not an unprimeable number, because it can be changed into a prime (3009311) 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, 69963 + ... + 70005.

It is an arithmetic number, because the mean of its divisors is an integer number (94710).

Almost surely, 2^3009312 is an apocalyptic number.

3009312 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 3009312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546080).

3009312 is an abundant number, since it is smaller than the sum of its proper divisors (6082848).

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

3009312 is an frugal number, since it uses more digits than its factorization.

3009312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3009312 is about 1734.7368676546. The cubic root of 3009312 is about 144.3740276541.

It can be divided in two parts, 3009 and 312, that added together give a triangular number (3321 = T₈₁).

The spelling of 3009312 in words is "three million, nine thousand, three hundred twelve".