3840528384 has 624 divisors, whose sum is σ = 14641576320. Its totient is φ = 973209600.

The previous prime is 3840528353. The next prime is 3840528389. The reversal of 3840528384 is 4838250483.

3840528384 is a `hidden beast` number, since 3 + 8 + 40 + 528 + 3 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840528389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93671404 + ... + 93671444.

Almost surely, 2^3840528384 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 3840528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320788160).

3840528384 is an abundant number, since it is smaller than the sum of its proper divisors (10801047936).

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

3840528384 is a wasteful number, since it uses less digits than its factorization.

3840528384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 3840528384 is about 61971.9967727360. The cubic root of 3840528384 is about 1566.0188779451.

The spelling of 3840528384 in words is "three billion, eight hundred forty million, five hundred twenty-eight thousand, three hundred eighty-four".