3214224 has 120 divisors (see below), whose sum is σ = 10358712. Its totient is φ = 921600.

The previous prime is 3214223. The next prime is 3214229. The reversal of 3214224 is 4224123.

It can be written as a sum of positive squares in 4 ways, for example, as 1140624 + 2073600 = 1068^2 + 1440^2 .

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.

It is a junction number, because it is equal to n+sod(n) for n = 3214197 and 3214206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31774 + ... + 31874.

Almost surely, 2^3214224 is an apocalyptic number.

3214224 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 3214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179356).

3214224 is an abundant number, since it is smaller than the sum of its proper divisors (7144488).

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

3214224 is a wasteful number, since it uses less digits than its factorization.

3214224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

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

The square root of 3214224 is about 1792.8257026270. The cubic root of 3214224 is about 147.5792775015.

Adding to 3214224 its reverse (4224123), we get a palindrome (7438347).

The spelling of 3214224 in words is "three million, two hundred fourteen thousand, two hundred twenty-four".