3312144 has 160 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 921600.

The previous prime is 3312139. The next prime is 3312151. The reversal of 3312144 is 4412133.

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

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 80764 + ... + 80804.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

Almost surely, 2^3312144 is an apocalyptic number.

3312144 is a gapful number since it is divisible by the number (34) 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 3312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

3312144 is an abundant number, since it is smaller than the sum of its proper divisors (7937136).

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

3312144 is a wasteful number, since it uses less digits than its factorization.

3312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

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

The square root of 3312144 is about 1819.9296689708. The cubic root of 3312144 is about 149.0629585445.

Adding to 3312144 its reverse (4412133), we get a palindrome (7724277).

The spelling of 3312144 in words is "three million, three hundred twelve thousand, one hundred forty-four".