3242444400 has 360 divisors, whose sum is σ = 12285116480. Its totient is φ = 787138560.

The previous prime is 3242444399. The next prime is 3242444417. The reversal of 3242444400 is 44442423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3696762 + ... + 3697638.

Almost surely, 2^3242444400 is an apocalyptic number.

3242444400 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 3242444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142558240).

3242444400 is an abundant number, since it is smaller than the sum of its proper divisors (9042672080).

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

3242444400 is a wasteful number, since it uses less digits than its factorization.

3242444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 979 counting only the distinct ones).

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

The square root of 3242444400 is about 56942.4657000380. The cubic root of 3242444400 is about 1480.0992750549.

Adding to 3242444400 its reverse (44442423), we get a palindrome (3286886823).

The spelling of 3242444400 in words is "three billion, two hundred forty-two million, four hundred forty-four thousand, four hundred".