3882928640 has 80 divisors (see below), whose sum is σ = 9325438848. Its totient is φ = 1550585856.

The previous prime is 3882928627. The next prime is 3882928649. The reversal of 3882928640 is 468292883.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3882928649) 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 7 ways as a sum of consecutive naturals, for example, 2515709 + ... + 2517251.

Almost surely, 2^3882928640 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 3882928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662719424).

3882928640 is an abundant number, since it is smaller than the sum of its proper divisors (5442510208).

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

3882928640 is an equidigital number, since it uses as much as digits as its factorization.

3882928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The square root of 3882928640 is about 62313.1498160701. The cubic root of 3882928640 is about 1571.7608598840.

The spelling of 3882928640 in words is "three billion, eight hundred eighty-two million, nine hundred twenty-eight thousand, six hundred forty".