3825792 has 112 divisors (see below), whose sum is σ = 11706030. Its totient is φ = 1244160.

The previous prime is 3825781. The next prime is 3825793. The reversal of 3825792 is 2975283.

It is a happy number.

3825792 is a `hidden beast` number, since 3 + 82 + 579 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3779136 + 46656 = 1944^2 + 216^2 .

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

It is a d-powerful number, because it can be written as 3³ + 8³ + 2¹⁹ + 5⁹ + 7⁷ + 9 + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (3825793) 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 13 ways as a sum of consecutive naturals, for example, 93292 + ... + 93332.

Almost surely, 2^3825792 is an apocalyptic number.

3825792 is a gapful number since it is divisible by the number (32) 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 3825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853015).

3825792 is an abundant number, since it is smaller than the sum of its proper divisors (7880238).

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

3825792 is an frugal number, since it uses more digits than its factorization.

3825792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3825792 is about 1955.9631898377. The cubic root of 3825792 is about 156.4013334877.

The spelling of 3825792 in words is "three million, eight hundred twenty-five thousand, seven hundred ninety-two".