3831984 has 120 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1115136.

The previous prime is 3831937. The next prime is 3832001. The reversal of 3831984 is 4891383.

3831984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43012 + ... + 43100.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

Almost surely, 2^3831984 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 3831984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

3831984 is an abundant number, since it is smaller than the sum of its proper divisors (8354736).

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

3831984 is a wasteful number, since it uses less digits than its factorization.

3831984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 3831984 is about 1957.5454017723. The cubic root of 3831984 is about 156.4856659220.

The spelling of 3831984 in words is "three million, eight hundred thirty-one thousand, nine hundred eighty-four".