3823820 has 96 divisors (see below), whose sum is σ = 10838016. Its totient is φ = 1094400.

The previous prime is 3823811. The next prime is 3823867. The reversal of 3823820 is 283283.

3823820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 3⁶ + 8³ + 2⁵ + 3¹³ + 8⁷ + 2¹⁷ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 3823820.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19925 + ... + 20115.

It is an arithmetic number, because the mean of its divisors is an integer number (112896).

Almost surely, 2^3823820 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 3823820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419008).

3823820 is an abundant number, since it is smaller than the sum of its proper divisors (7014196).

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

3823820 is a wasteful number, since it uses less digits than its factorization.

3823820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 3823820 is about 1955.4590253953. The cubic root of 3823820 is about 156.3744565746.

The spelling of 3823820 in words is "three million, eight hundred twenty-three thousand, eight hundred twenty".