3244441200 has 960 divisors, whose sum is σ = 14527736832. Its totient is φ = 597196800.

The previous prime is 3244441153. The next prime is 3244441201. The reversal of 3244441200 is 21444423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3244441201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44444364 + ... + 44444436.

Almost surely, 2^3244441200 is an apocalyptic number.

3244441200 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 3244441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263868416).

3244441200 is an abundant number, since it is smaller than the sum of its proper divisors (11283295632).

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

3244441200 is a wasteful number, since it uses less digits than its factorization.

3244441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3244441200 is about 56959.9964887639. The cubic root of 3244441200 is about 1480.4030433838.

Adding to 3244441200 its reverse (21444423), we get a palindrome (3265885623).

It can be divided in two parts, 3244 and 441200, that added together give a palindrome (444444).

The spelling of 3244441200 in words is "three billion, two hundred forty-four million, four hundred forty-one thousand, two hundred".