3882066399 has 64 divisors (see below), whose sum is σ = 6216192000. Its totient is φ = 2385676800.

The previous prime is 3882066389. The next prime is 3882066403. The reversal of 3882066399 is 9936602883.

It is not a de Polignac number, because 3882066399 - 2²³ = 3873677791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882066389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5475057 + ... + 5475765.

It is an arithmetic number, because the mean of its divisors is an integer number (97128000).

Almost surely, 2^3882066399 is an apocalyptic number.

3882066399 is a deficient number, since it is larger than the sum of its proper divisors (2334125601).

3882066399 is a wasteful number, since it uses less digits than its factorization.

3882066399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3882066399 is about 62306.2308200392. The cubic root of 3882066399 is about 1571.6445098205.

The spelling of 3882066399 in words is "three billion, eight hundred eighty-two million, sixty-six thousand, three hundred ninety-nine".