4284840384 has 448 divisors, whose sum is σ = 14636252160. Its totient is φ = 1241982720.

The previous prime is 4284840353. The next prime is 4284840397. The reversal of 4284840384 is 4830484824.

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 63 ways as a sum of consecutive naturals, for example, 186297397 + ... + 186297419.

Almost surely, 2^4284840384 is an apocalyptic number.

4284840384 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 4284840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318126080).

4284840384 is an abundant number, since it is smaller than the sum of its proper divisors (10351411776).

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

4284840384 is an frugal number, since it uses more digits than its factorization.

4284840384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The square root of 4284840384 is about 65458.6921959185. The cubic root of 4284840384 is about 1624.2201081621.

The spelling of 4284840384 in words is "four billion, two hundred eighty-four million, eight hundred forty thousand, three hundred eighty-four".