3825220 has 48 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 1292544.

The previous prime is 3825209. The next prime is 3825223. The reversal of 3825220 is 225283.

3825220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3¹³ + 8⁷ + 2¹¹ + 5⁴ + 2¹⁶ + 2¹⁶ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3825191 and 3825200.

It is not an unprimeable number, because it can be changed into a prime (3825223) 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 15 ways as a sum of consecutive naturals, for example, 12307 + ... + 12613.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 2^3825220 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 3825220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

3825220 is an abundant number, since it is smaller than the sum of its proper divisors (5488700).

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

3825220 is a wasteful number, since it uses less digits than its factorization.

3825220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 3825220 is about 1955.8169648513. The cubic root of 3825220 is about 156.3935384985.

The spelling of 3825220 in words is "three million, eight hundred twenty-five thousand, two hundred twenty".