3242224224 has 144 divisors (see below), whose sum is σ = 9864520848. Its totient is φ = 1006534656.

The previous prime is 3242224213. The next prime is 3242224229. The reversal of 3242224224 is 4224222423.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242224229) 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, 471499 + ... + 478325.

It is an arithmetic number, because the mean of its divisors is an integer number (68503617).

Almost surely, 2^3242224224 is an apocalyptic number.

3242224224 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 3242224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932260424).

3242224224 is an abundant number, since it is smaller than the sum of its proper divisors (6622296624).

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

3242224224 is a wasteful number, since it uses less digits than its factorization.

3242224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6957 (or 6946 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 3242224224 is about 56940.5323473534. The cubic root of 3242224224 is about 1480.0657725822.

Adding to 3242224224 its reverse (4224222423), we get a palindrome (7466446647).

The spelling of 3242224224 in words is "three billion, two hundred forty-two million, two hundred twenty-four thousand, two hundred twenty-four".