4384224800 has 54 divisors (see below), whose sum is σ = 10707562719. Its totient is φ = 1752940800.

The previous prime is 4384224799. The next prime is 4384224821. The reversal of 4384224800 is 84224834.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2249415184 + 2134809616 = 47428^2 + 46204^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=46820.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1871630 + ... + 1873970.

Almost surely, 2^4384224800 is an apocalyptic number.

4384224800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4384224800 is an abundant number, since it is smaller than the sum of its proper divisors (6323337919).

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

4384224800 is an frugal number, since it uses more digits than its factorization.

4384224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The square root of 4384224800 is about 66213.4789903083. The cubic root of 4384224800 is about 1636.6818693457.

The spelling of 4384224800 in words is "four billion, three hundred eighty-four million, two hundred twenty-four thousand, eight hundred".