4287324384 has 768 divisors, whose sum is σ = 16547328000. Its totient is φ = 1072963584.

The previous prime is 4287324373. The next prime is 4287324463. The reversal of 4287324384 is 4834237824.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115873614 + ... + 115873650.

It is an arithmetic number, because the mean of its divisors is an integer number (21546000).

Almost surely, 2^4287324384 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 4287324384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664000).

4287324384 is an abundant number, since it is smaller than the sum of its proper divisors (12260003616).

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

4287324384 is a wasteful number, since it uses less digits than its factorization.

4287324384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 4287324384 is about 65477.6632448043. The cubic root of 4287324384 is about 1624.5339108558.

The spelling of 4287324384 in words is "four billion, two hundred eighty-seven million, three hundred twenty-four thousand, three hundred eighty-four".