3871059984 has 320 divisors, whose sum is σ = 12518841600. Its totient is φ = 1149603840.

The previous prime is 3871059971. The next prime is 3871060001. The reversal of 3871059984 is 4899501783.

3871059984 is a `hidden beast` number, since 38 + 7 + 10 + 599 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3871059984.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34257112 + ... + 34257224.

It is an arithmetic number, because the mean of its divisors is an integer number (39121380).

Almost surely, 2^3871059984 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 3871059984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259420800).

3871059984 is an abundant number, since it is smaller than the sum of its proper divisors (8647781616).

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

3871059984 is a wasteful number, since it uses less digits than its factorization.

3871059984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 3871059984 is about 62217.8429712892. The cubic root of 3871059984 is about 1570.1577977087.

The spelling of 3871059984 in words is "three billion, eight hundred seventy-one million, fifty-nine thousand, nine hundred eighty-four".