3224400 has 60 divisors (see below), whose sum is σ = 10332672. Its totient is φ = 859520.

The previous prime is 3224321. The next prime is 3224401. The reversal of 3224400 is 44223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3224400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144 + ... + 2543.

Almost surely, 2^3224400 is an apocalyptic number.

3224400 is a gapful number since it is divisible by the number (30) 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 3224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166336).

3224400 is an abundant number, since it is smaller than the sum of its proper divisors (7108272).

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

3224400 is a wasteful number, since it uses less digits than its factorization.

3224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3224400 is about 1795.6614380222. The cubic root of 3224400 is about 147.7348551962.

Adding to 3224400 its reverse (44223), we get a palindrome (3268623).

The spelling of 3224400 in words is "three million, two hundred twenty-four thousand, four hundred".