3868020 has 192 divisors, whose sum is σ = 14112000. Its totient is φ = 870912.

The previous prime is 3868019. The next prime is 3868021. The reversal of 3868020 is 208683.

3868020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3868019) and next prime (3868021).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3868021) 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 63 ways as a sum of consecutive naturals, for example, 133366 + ... + 133394.

It is an arithmetic number, because the mean of its divisors is an integer number (73500).

Almost surely, 2^3868020 is an apocalyptic number.

3868020 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 3868020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056000).

3868020 is an abundant number, since it is smaller than the sum of its proper divisors (10243980).

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

3868020 is a wasteful number, since it uses less digits than its factorization.

3868020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3868020 is about 1966.7282476234. The cubic root of 3868020 is about 156.9746669607.

The spelling of 3868020 in words is "three million, eight hundred sixty-eight thousand, twenty".