3987792 has 100 divisors (see below), whose sum is σ = 12288276. Its totient is φ = 1244160.

The previous prime is 3987791. The next prime is 3987799. The reversal of 3987792 is 2977893.

3987792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 2742336 = 1116^2 + 1656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987791) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 21942 + ... + 22122.

Almost surely, 2^3987792 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 3987792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144138).

3987792 is an abundant number, since it is smaller than the sum of its proper divisors (8300484).

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

3987792 is a wasteful number, since it uses less digits than its factorization.

3987792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 3987792 is about 1996.9456677636. The cubic root of 3987792 is about 158.5784490265.

The spelling of 3987792 in words is "three million, nine hundred eighty-seven thousand, seven hundred ninety-two".