3825936 has 45 divisors (see below), whose sum is σ = 10773399. Its totient is φ = 1267488.

The previous prime is 3825931. The next prime is 3825947. The reversal of 3825936 is 6395283.

The square root of 3825936 is 1956.

It is a perfect power (a square), and thus also a powerful number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3825936.

It is not an unprimeable number, because it can be changed into a prime (3825931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23391 + ... + 23553.

Almost surely, 2^3825936 is an apocalyptic number.

3825936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3825936 is the 1956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3825936

3825936 is an abundant number, since it is smaller than the sum of its proper divisors (6947463).

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

3825936 is a wasteful number, since it uses less digits than its factorization.

3825936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 168 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The cubic root of 3825936 is about 156.4032957401.

Multiplying 3825936 by its sum of digits (36), we get a square (137733696 = 11736²).

3825936 divided by its sum of digits (36) gives a square (106276 = 326²).

It can be divided in two parts, 3825 and 936, that added together give a square (4761 = 69²).

The spelling of 3825936 in words is "three million, eight hundred twenty-five thousand, nine hundred thirty-six".