3827820 has 48 divisors (see below), whose sum is σ = 10821888. Its totient is φ = 1010880.

The previous prime is 3827809. The next prime is 3827833. The reversal of 3827820 is 287283.

3827820 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 (30).

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 15 ways as a sum of consecutive naturals, for example, 7617 + ... + 8103.

It is an arithmetic number, because the mean of its divisors is an integer number (225456).

Almost surely, 2^3827820 is an apocalyptic number.

3827820 is a gapful number since it is divisible by the number (30) 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 3827820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410944).

3827820 is an abundant number, since it is smaller than the sum of its proper divisors (6994068).

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

3827820 is a wasteful number, since it uses less digits than its factorization.

3827820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3827820 is about 1956.4815358188. The cubic root of 3827820 is about 156.4289640085.

The spelling of 3827820 in words is "three million, eight hundred twenty-seven thousand, eight hundred twenty".