3987872 has 48 divisors (see below), whose sum is σ = 9455040. Its totient is φ = 1617408.

The previous prime is 3987859. The next prime is 3987887. The reversal of 3987872 is 2787893.

It is a happy number.

3987872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 3788 + ... + 4724.

It is an arithmetic number, because the mean of its divisors is an integer number (196980).

Almost surely, 2^3987872 is an apocalyptic number.

3987872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3987872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727520).

3987872 is an abundant number, since it is smaller than the sum of its proper divisors (5467168).

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

3987872 is a wasteful number, since it uses less digits than its factorization.

3987872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 965 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The square root of 3987872 is about 1996.9656982532. The cubic root of 3987872 is about 158.5795094455.

The spelling of 3987872 in words is "three million, nine hundred eighty-seven thousand, eight hundred seventy-two".