4836384000 has 432 divisors, whose sum is σ = 19897113600. Its totient is φ = 1104998400.

The previous prime is 4836383957. The next prime is 4836384019. The reversal of 4836384000 is 4836384.

It is a super-2 number, since 2×4836384000² = 46781220390912000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2014801 + ... + 2017199.

Almost surely, 2^4836384000 is an apocalyptic number.

4836384000 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 4836384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9948556800).

4836384000 is an abundant number, since it is smaller than the sum of its proper divisors (15060729600).

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

4836384000 is a wasteful number, since it uses less digits than its factorization.

4836384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4836384000 is about 69544.1154951301. The cubic root of 4836384000 is about 1691.1167531039.

4836384000 divided by its reverse (4836384) gives a cube (1000 = 10³).

The spelling of 4836384000 in words is "four billion, eight hundred thirty-six million, three hundred eighty-four thousand".