3871936 has 28 divisors (see below), whose sum is σ = 7772400. Its totient is φ = 1913600.

The previous prime is 3871921. The next prime is 3871961. The reversal of 3871936 is 6391783.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3871895 and 3871904.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6165 + ... + 6763.

Almost surely, 2^3871936 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 3871936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886200).

3871936 is an abundant number, since it is smaller than the sum of its proper divisors (3900464).

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

3871936 is a wasteful number, since it uses less digits than its factorization.

3871936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 3871936 is about 1967.7235578201. The cubic root of 3871936 is about 157.0276230353.

The spelling of 3871936 in words is "three million, eight hundred seventy-one thousand, nine hundred thirty-six".