4838241600 has 252 divisors, whose sum is σ = 17264579644. Its totient is φ = 1285079040.

The previous prime is 4838241559. The next prime is 4838241607. The reversal of 4838241600 is 61428384.

4838241600 is a `hidden beast` number, since 4 + 8 + 3 + 8 + 2 + 41 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17438976 + 4820802624 = 4176^2 + 69432^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4838241607) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4852302 + ... + 4853298.

Almost surely, 2^4838241600 is an apocalyptic number.

4838241600 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 4838241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632289822).

4838241600 is an abundant number, since it is smaller than the sum of its proper divisors (12426338044).

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

4838241600 is a wasteful number, since it uses less digits than its factorization.

4838241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4838241600 is about 69557.4697642173. The cubic root of 4838241600 is about 1691.3332382832. Note that the first 3 decimals are identical.

Adding to 4838241600 its reverse (61428384), we get a palindrome (4899669984).

The spelling of 4838241600 in words is "four billion, eight hundred thirty-eight million, two hundred forty-one thousand, six hundred".