3224320 has 72 divisors (see below), whose sum is σ = 8462160. Its totient is φ = 1167360.

The previous prime is 3224317. The next prime is 3224321. The reversal of 3224320 is 234223.

3224320 = T₂₇₉ + T₂₈₀ + ... + T₃₄₄.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3224294 and 3224303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13966 + ... + 14194.

It is an arithmetic number, because the mean of its divisors is an integer number (117530).

Almost surely, 2^3224320 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 3224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231080).

3224320 is an abundant number, since it is smaller than the sum of its proper divisors (5237840).

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

3224320 is a wasteful number, since it uses less digits than its factorization.

3224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3224320 is about 1795.6391619699. The cubic root of 3224320 is about 147.7336333786.

Adding to 3224320 its reverse (234223), we get a palindrome (3458543).

The spelling of 3224320 in words is "three million, two hundred twenty-four thousand, three hundred twenty".