4738867200 has 336 divisors, whose sum is σ = 17430201360. Its totient is φ = 1262223360.

The previous prime is 4738867183. The next prime is 4738867201. The reversal of 4738867200 is 27688374.

It is a happy number.

4738867200 is a `hidden beast` number, since 4 + 7 + 388 + 67 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4738867201) 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 23 ways as a sum of consecutive naturals, for example, 5529172 + ... + 5530028.

Almost surely, 2^4738867200 is an apocalyptic number.

4738867200 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 4738867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8715100680).

4738867200 is an abundant number, since it is smaller than the sum of its proper divisors (12691334160).

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

4738867200 is an equidigital number, since it uses as much as digits as its factorization.

4738867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4738867200 is about 68839.4305612706. The cubic root of 4738867200 is about 1679.6734059016.

The spelling of 4738867200 in words is "four billion, seven hundred thirty-eight million, eight hundred sixty-seven thousand, two hundred".