4384852416 has 252 divisors, whose sum is σ = 14964518712. Its totient is φ = 1223341056.

The previous prime is 4384852399. The next prime is 4384852427. The reversal of 4384852416 is 6142584834.

4384852416 is a `hidden beast` number, since 43 + 84 + 8 + 524 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 1211826 + ... + 1215438.

Almost surely, 2^4384852416 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 4384852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7482259356).

4384852416 is an abundant number, since it is smaller than the sum of its proper divisors (10579666296).

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

4384852416 is a wasteful number, since it uses less digits than its factorization.

4384852416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3668 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 4384852416 is about 66218.2181578454. The cubic root of 4384852416 is about 1636.7599643920.

The spelling of 4384852416 in words is "four billion, three hundred eighty-four million, eight hundred fifty-two thousand, four hundred sixteen".