3828255816 has 256 divisors, whose sum is σ = 12242534400. Its totient is φ = 968889600.

The previous prime is 3828255811. The next prime is 3828255829. The reversal of 3828255816 is 6185528283.

It is not an unprimeable number, because it can be changed into a prime (3828255811) 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 63 ways as a sum of consecutive naturals, for example, 21386815 + ... + 21386993.

It is an arithmetic number, because the mean of its divisors is an integer number (47822400).

Almost surely, 2^3828255816 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 3828255816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121267200).

3828255816 is an abundant number, since it is smaller than the sum of its proper divisors (8414278584).

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

3828255816 is a wasteful number, since it uses less digits than its factorization.

3828255816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its digits is 921600, while the sum is 48.

The square root of 3828255816 is about 61872.9004977139. The cubic root of 3828255816 is about 1564.3490051699.

The spelling of 3828255816 in words is "three billion, eight hundred twenty-eight million, two hundred fifty-five thousand, eight hundred sixteen".