4384632168 has 128 divisors (see below), whose sum is σ = 14259168000. Its totient is φ = 1222179840.

The previous prime is 4384632151. The next prime is 4384632173. The reversal of 4384632168 is 8612364834.

4384632168 is a `hidden beast` number, since 4 + 3 + 8 + 4 + 632 + 1 + 6 + 8 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 26628 + ... + 97356.

It is an arithmetic number, because the mean of its divisors is an integer number (111399750).

Almost surely, 2^4384632168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4384632168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129584000).

4384632168 is an abundant number, since it is smaller than the sum of its proper divisors (9874535832).

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

4384632168 is a wasteful number, since it uses less digits than its factorization.

4384632168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70792 (or 70782 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4384632168 is about 66216.5550900981. Note that the first 3 decimals coincide. The cubic root of 4384632168 is about 1636.7325595058.

The spelling of 4384632168 in words is "four billion, three hundred eighty-four million, six hundred thirty-two thousand, one hundred sixty-eight".