3224000 has 112 divisors (see below), whose sum is σ = 8875776. Its totient is φ = 1152000.

The previous prime is 3223991. The next prime is 3224009. The reversal of 3224000 is 4223.

3224000 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (3223991) and next prime (3224009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103985 + ... + 104015.

It is an arithmetic number, because the mean of its divisors is an integer number (79248).

Almost surely, 2^3224000 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 3224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437888).

3224000 is an abundant number, since it is smaller than the sum of its proper divisors (5651776).

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

3224000 is a wasteful number, since it uses less digits than its factorization.

3224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 3224000 is about 1795.5500549971. The cubic root of 3224000 is about 147.7287459061.

Adding to 3224000 its reverse (4223), we get a palindrome (3228223).

The spelling of 3224000 in words is "three million, two hundred twenty-four thousand".