4838356800 has 420 divisors, whose sum is σ = 18283349260. Its totient is φ = 1254113280.

The previous prime is 4838356771. The next prime is 4838356813. The reversal of 4838356800 is 86538384.

4838356800 is a `hidden beast` number, since 4 + 8 + 3 + 83 + 568 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 876096 + 4837480704 = 936^2 + 69552^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 59 ways as a sum of consecutive naturals, for example, 4794696 + ... + 4795704.

Almost surely, 2^4838356800 is an apocalyptic number.

4838356800 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 4838356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9141674630).

4838356800 is an abundant number, since it is smaller than the sum of its proper divisors (13444992460).

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

4838356800 is a wasteful number, since it uses less digits than its factorization.

4838356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4838356800 is about 69558.2978515145. The cubic root of 4838356800 is about 1691.3466618958.

The spelling of 4838356800 in words is "four billion, eight hundred thirty-eight million, three hundred fifty-six thousand, eight hundred".