3244030400 has 168 divisors, whose sum is σ = 8971446624. Its totient is φ = 1145548800.

The previous prime is 3244030397. The next prime is 3244030403. The reversal of 3244030400 is 40304423.

It is a happy number.

3244030400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3244030397) and next prime (3244030403).

It is a super-2 number, since 2×3244030400² = 21047466472248320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3244030403) 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, 475010 + ... + 481790.

It is an arithmetic number, because the mean of its divisors is an integer number (53401468).

Almost surely, 2^3244030400 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 3244030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485723312).

3244030400 is an abundant number, since it is smaller than the sum of its proper divisors (5727416224).

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

3244030400 is a wasteful number, since it uses less digits than its factorization.

3244030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6839 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3244030400 is about 56956.3903350625. The cubic root of 3244030400 is about 1480.3405595638.

Adding to 3244030400 its reverse (40304423), we get a palindrome (3284334823).

The spelling of 3244030400 in words is "three billion, two hundred forty-four million, thirty thousand, four hundred".