3241224400 has 120 divisors (see below), whose sum is σ = 8153031744. Its totient is φ = 1235942400.

The previous prime is 3241224397. The next prime is 3241224407. The reversal of 3241224400 is 44221423.

It is a happy number.

It is a super-2 number, since 2×3241224400² = 21011071222310720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241224407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5252892 + ... + 5253508.

Almost surely, 2^3241224400 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 3241224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076515872).

3241224400 is an abundant number, since it is smaller than the sum of its proper divisors (4911807344).

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

3241224400 is a wasteful number, since it uses less digits than its factorization.

3241224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3241224400 is about 56931.7521248029. The cubic root of 3241224400 is about 1479.9136180409.

Adding to 3241224400 its reverse (44221423), we get a palindrome (3285445823).

The spelling of 3241224400 in words is "three billion, two hundred forty-one million, two hundred twenty-four thousand, four hundred".