3287568384 has 208 divisors, whose sum is σ = 9886864640. Its totient is φ = 1092870144.

The previous prime is 3287568379. The next prime is 3287568463. The reversal of 3287568384 is 4838657823.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3287568384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8957769 + ... + 8958135.

Almost surely, 2^3287568384 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 3287568384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943432320).

3287568384 is an abundant number, since it is smaller than the sum of its proper divisors (6599296256).

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

3287568384 is an frugal number, since it uses more digits than its factorization.

3287568384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 372 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 3287568384 is about 57337.3210396161. The cubic root of 3287568384 is about 1486.9336793311.

The spelling of 3287568384 in words is "three billion, two hundred eighty-seven million, five hundred sixty-eight thousand, three hundred eighty-four".