3244034400 has 144 divisors (see below), whose sum is σ = 10586822400. Its totient is φ = 862824960.

The previous prime is 3244034357. The next prime is 3244034419. The reversal of 3244034400 is 44304423.

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 an unprimeable number.

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, 1052061 + ... + 1055139.

It is an arithmetic number, because the mean of its divisors is an integer number (73519600).

Almost surely, 2^3244034400 is an apocalyptic number.

3244034400 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 3244034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293411200).

3244034400 is an abundant number, since it is smaller than the sum of its proper divisors (7342788000).

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

3244034400 is a wasteful number, since it uses less digits than its factorization.

3244034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3244034400 is about 56956.4254496365. The cubic root of 3244034400 is about 1480.3411680003.

Adding to 3244034400 its reverse (44304423), we get a palindrome (3288338823).

The spelling of 3244034400 in words is "three billion, two hundred forty-four million, thirty-four thousand, four hundred".