3825536 has 96 divisors (see below), whose sum is σ = 9496200. Its totient is φ = 1520640.

The previous prime is 3825533. The next prime is 3825557. The reversal of 3825536 is 6355283.

3825536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3³ + 8⁶ + 2⁸ + 5⁶ + 5⁹ + 3¹³ + 6² .

Its product of digits (21600) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825533) 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 11 ways as a sum of consecutive naturals, for example, 201335 + ... + 201353.

Almost surely, 2^3825536 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 3825536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748100).

3825536 is an abundant number, since it is smaller than the sum of its proper divisors (5670664).

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

3825536 is a wasteful number, since it uses less digits than its factorization.

3825536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 45 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 3825536 is about 1955.8977478386. The cubic root of 3825536 is about 156.3978449172.

The spelling of 3825536 in words is "three million, eight hundred twenty-five thousand, five hundred thirty-six".