3827536 has 40 divisors (see below), whose sum is σ = 7845480. Its totient is φ = 1806336.

The previous prime is 3827519. The next prime is 3827561. The reversal of 3827536 is 6357283.

3827536 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 4 ways, for example, as 48400 + 3779136 = 220^2 + 1944^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3² + 8 + 2⁷ + 7 + 5⁹ + 3¹³ + 6⁷ .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33816 + ... + 33928.

It is an arithmetic number, because the mean of its divisors is an integer number (196137).

Almost surely, 2^3827536 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 3827536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922740).

3827536 is an abundant number, since it is smaller than the sum of its proper divisors (4017944).

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

3827536 is a wasteful number, since it uses less digits than its factorization.

3827536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 3827536 is about 1956.4089552034. The cubic root of 3827536 is about 156.4250952333.

The spelling of 3827536 in words is "three million, eight hundred twenty-seven thousand, five hundred thirty-six".