4284184320 has 216 divisors, whose sum is σ = 15963607296. Its totient is φ = 1054531584.

The previous prime is 4284184313. The next prime is 4284184337. The reversal of 4284184320 is 234814824.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135457 + ... + 164063.

Almost surely, 2^4284184320 is an apocalyptic number.

4284184320 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 4284184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7981803648).

4284184320 is an abundant number, since it is smaller than the sum of its proper divisors (11679422976).

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

4284184320 is a wasteful number, since it uses less digits than its factorization.

4284184320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28647 (or 28630 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4284184320 is about 65453.6807215606. The cubic root of 4284184320 is about 1624.1372076232.

The spelling of 4284184320 in words is "four billion, two hundred eighty-four million, one hundred eighty-four thousand, three hundred twenty".