3189312 has 126 divisors (see below), whose sum is σ = 10728198. Its totient is φ = 903168.

The previous prime is 3189301. The next prime is 3189313. The reversal of 3189312 is 2139813.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 1382976 = 1344^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×3189312² = 20343422066688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3189313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28168 + ... + 28280.

Almost surely, 2^3189312 is an apocalyptic number.

3189312 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 3189312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364099).

3189312 is an abundant number, since it is smaller than the sum of its proper divisors (7538886).

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

3189312 is a wasteful number, since it uses less digits than its factorization.

3189312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 3189312 is about 1785.8644965394. The cubic root of 3189312 is about 147.1970147473.

It can be divided in two parts, 31 and 89312, that multiplied together give a palindrome (2768672).

The spelling of 3189312 in words is "three million, one hundred eighty-nine thousand, three hundred twelve".