4384796416 has 288 divisors, whose sum is σ = 11966524416. Its totient is φ = 1548288000.

The previous prime is 4384796399. The next prime is 4384796443. The reversal of 4384796416 is 6146974834.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 31 ways as a sum of consecutive naturals, for example, 18194056 + ... + 18194296.

It is an arithmetic number, because the mean of its divisors is an integer number (41550432).

Almost surely, 2^4384796416 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 4384796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983262208).

4384796416 is an abundant number, since it is smaller than the sum of its proper divisors (7581728000).

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

4384796416 is a wasteful number, since it uses less digits than its factorization.

4384796416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The square root of 4384796416 is about 66217.7953121364. The cubic root of 4384796416 is about 1636.7529965445.

The spelling of 4384796416 in words is "four billion, three hundred eighty-four million, seven hundred ninety-six thousand, four hundred sixteen".