3843936 has 60 divisors (see below), whose sum is σ = 11312532. Its totient is φ = 1280448.

The previous prime is 3843923. The next prime is 3843937. The reversal of 3843936 is 6393483.

3843936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3843936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3843937) 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 9 ways as a sum of consecutive naturals, for example, 1851 + ... + 3333.

Almost surely, 2^3843936 is an apocalyptic number.

3843936 is a gapful number since it is divisible by the number (36) 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 3843936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656266).

3843936 is an abundant number, since it is smaller than the sum of its proper divisors (7468596).

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

3843936 is a wasteful number, since it uses less digits than its factorization.

3843936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1488 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3843936 is about 1960.5958278034. The cubic root of 3843936 is about 156.6481905680.

The spelling of 3843936 in words is "three million, eight hundred forty-three thousand, nine hundred thirty-six".