4838324400 has 720 divisors, whose sum is σ = 21469570304. Its totient is φ = 1018967040.

The previous prime is 4838324383. The next prime is 4838324419. The reversal of 4838324400 is 44238384.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 8844927 + ... + 8845473.

Almost surely, 2^4838324400 is an apocalyptic number.

4838324400 is a gapful number since it is divisible by the number (40) 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 4838324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10734785152).

4838324400 is an abundant number, since it is smaller than the sum of its proper divisors (16631245904).

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

4838324400 is a wasteful number, since it uses less digits than its factorization.

4838324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4838324400 is about 69558.0649529585. The cubic root of 4838324400 is about 1691.3428865263.

The spelling of 4838324400 in words is "four billion, eight hundred thirty-eight million, three hundred twenty-four thousand, four hundred".