3112224 has 48 divisors (see below), whose sum is σ = 8654688. Its totient is φ = 975872.

The previous prime is 3112147. The next prime is 3112237. The reversal of 3112224 is 4222113.

3112224 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679 + ... + 2585.

It is an arithmetic number, because the mean of its divisors is an integer number (180306).

Almost surely, 2^3112224 is an apocalyptic number.

3112224 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 3112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327344).

3112224 is an abundant number, since it is smaller than the sum of its proper divisors (5542464).

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

3112224 is a wasteful number, since it uses less digits than its factorization.

3112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1929 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 3112224 is about 1764.1496535158. The cubic root of 3112224 is about 146.0013761051.

Adding to 3112224 its reverse (4222113), we get a palindrome (7334337).

The spelling of 3112224 in words is "three million, one hundred twelve thousand, two hundred twenty-four".