3825728 has 42 divisors (see below), whose sum is σ = 8006334. Its totient is φ = 1813504.

The previous prime is 3825721. The next prime is 3825739. The reversal of 3825728 is 8275283.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2166784 + 1658944 = 1472^2 + 1288^2 .

It is not an unprimeable number, because it can be changed into a prime (3825721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33800 + ... + 33912.

It is an arithmetic number, because the mean of its divisors is an integer number (190627).

Almost surely, 2^3825728 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 3825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003167).

3825728 is an abundant number, since it is smaller than the sum of its proper divisors (4180606).

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

3825728 is a wasteful number, since it uses less digits than its factorization.

3825728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 3825728 is about 1955.9468295432. The cubic root of 3825728 is about 156.4004613597.

The spelling of 3825728 in words is "three million, eight hundred twenty-five thousand, seven hundred twenty-eight".