3827936 has 48 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 1567104.

The previous prime is 3827927. The next prime is 3827939. The reversal of 3827936 is 6397283.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3827936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4781 + ... + 5523.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^3827936 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 3827936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

3827936 is an abundant number, since it is smaller than the sum of its proper divisors (5171488).

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

3827936 is a wasteful number, since it uses less digits than its factorization.

3827936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 775 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 3827936 is about 1956.5111806478. The cubic root of 3827936 is about 156.4305441573.

The spelling of 3827936 in words is "three million, eight hundred twenty-seven thousand, nine hundred thirty-six".