4836336384 has 144 divisors (see below), whose sum is σ = 14385377664. Its totient is φ = 1429708800.

The previous prime is 4836336371. The next prime is 4836336389.

4836336384 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4836336389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339387 + ... + 353349.

It is an arithmetic number, because the mean of its divisors is an integer number (99898456).

Almost surely, 2^4836336384 is an apocalyptic number.

4836336384 is a gapful number since it is divisible by the number (44) 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 4836336384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7192688832).

4836336384 is an abundant number, since it is smaller than the sum of its proper divisors (9549041280).

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

4836336384 is a wasteful number, since it uses less digits than its factorization.

4836336384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14034 (or 14020 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The square root of 4836336384 is about 69543.7731504410. The cubic root of 4836336384 is about 1691.1112031945. Note that the first 3 decimals are identical.

The spelling of 4836336384 in words is "four billion, eight hundred thirty-six million, three hundred thirty-six thousand, three hundred eighty-four".