3328224 has 48 divisors (see below), whose sum is σ = 8982288. Its totient is φ = 1078272.

The previous prime is 3328219. The next prime is 3328229. The reversal of 3328224 is 4228233.

It is an interprime number because it is at equal distance from previous prime (3328219) and next prime (3328229).

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

It is a super-2 number, since 2×3328224² = 22154149988352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 3328194 and 3328203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3328229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3084 + ... + 4020.

It is an arithmetic number, because the mean of its divisors is an integer number (187131).

Almost surely, 2^3328224 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 3328224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491144).

3328224 is an abundant number, since it is smaller than the sum of its proper divisors (5654064).

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

3328224 is a wasteful number, since it uses less digits than its factorization.

3328224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 979 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3328224 is about 1824.3420731869. The cubic root of 3328224 is about 149.3037958870.

Subtracting 3328224 from its reverse (4228233), we obtain a palindrome (900009).

The spelling of 3328224 in words is "three million, three hundred twenty-eight thousand, two hundred twenty-four".