3837936 has 40 divisors (see below), whose sum is σ = 10187344. Its totient is φ = 1244160.

The previous prime is 3837923. The next prime is 3837949. The reversal of 3837936 is 6397383.

3837936 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3837923) and next prime (3837949).

It is a junction number, because it is equal to n+sod(n) for n = 3837894 and 3837903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696 + ... + 2856.

Almost surely, 2^3837936 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 3837936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093672).

3837936 is an abundant number, since it is smaller than the sum of its proper divisors (6349408).

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

3837936 is a wasteful number, since it uses less digits than its factorization.

3837936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2203 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 3837936 is about 1959.0650831455. The cubic root of 3837936 is about 156.5666440670.

The spelling of 3837936 in words is "three million, eight hundred thirty-seven thousand, nine hundred thirty-six".