3852288384 has 128 divisors (see below), whose sum is σ = 11714561280. Its totient is φ = 1098762240.

The previous prime is 3852288317. The next prime is 3852288389. The reversal of 3852288384 is 4838822583.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3852288389) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2528647 + ... + 2530169.

It is an arithmetic number, because the mean of its divisors is an integer number (91520010).

Almost surely, 2^3852288384 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 3852288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857280640).

3852288384 is an abundant number, since it is smaller than the sum of its proper divisors (7862272896).

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

3852288384 is a wasteful number, since it uses less digits than its factorization.

3852288384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2476 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 51.

The square root of 3852288384 is about 62066.8058143804. The cubic root of 3852288384 is about 1567.6156735426.

The spelling of 3852288384 in words is "three billion, eight hundred fifty-two million, two hundred eighty-eight thousand, three hundred eighty-four".