3412224 has 54 divisors (see below), whose sum is σ = 9844926. Its totient is φ = 1136640.

The previous prime is 3412207. The next prime is 3412271. The reversal of 3412224 is 4222143.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 589824 = 1680^2 + 768^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3412197 and 3412206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1564 + ... + 3044.

Almost surely, 2^3412224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922463).

3412224 is an abundant number, since it is smaller than the sum of its proper divisors (6432702).

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

3412224 is a wasteful number, since it uses less digits than its factorization.

3412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1486 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 3412224 is about 1847.2206148698. The cubic root of 3412224 is about 150.5494515624.

Adding to 3412224 its reverse (4222143), we get a palindrome (7634367).

The spelling of 3412224 in words is "three million, four hundred twelve thousand, two hundred twenty-four".