3884856768 has 448 divisors, whose sum is σ = 13136148480. Its totient is φ = 1116758016.

The previous prime is 3884856763. The next prime is 3884856799. The reversal of 3884856768 is 8676584883.

3884856768 is a `hidden beast` number, since 3 + 8 + 8 + 4 + 8 + 567 + 68 = 666.

3884856768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3884856768² = 30184224215750811648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3884856761) 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, 37717005 + ... + 37717107.

It is an arithmetic number, because the mean of its divisors is an integer number (29321760).

Almost surely, 2^3884856768 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 3884856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568074240).

3884856768 is an abundant number, since it is smaller than the sum of its proper divisors (9251291712).

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

3884856768 is a wasteful number, since it uses less digits than its factorization.

3884856768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The square root of 3884856768 is about 62328.6191728968. The cubic root of 3884856768 is about 1572.0209775186.

The spelling of 3884856768 in words is "three billion, eight hundred eighty-four million, eight hundred fifty-six thousand, seven hundred sixty-eight".