3820 has 12 divisors (see below), whose sum is σ = 8064. Its totient is φ = 1520.

The previous prime is 3803. The next prime is 3821. The reversal of 3820 is 283.

3820 = T₁₉ + T₂₀ + ... + T₃₀.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3820.

It is not an unprimeable number, because it can be changed into a prime (3821) by changing a digit.

3820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76 + ... + 115.

It is an arithmetic number, because the mean of its divisors is an integer number (672).

It is an amenable number.

3820 is an abundant number, since it is smaller than the sum of its proper divisors (4244).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032).

3820 is a wasteful number, since it uses less digits than its factorization.

3820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3820 is about 61.8061485614. The cubic root of 3820 is about 15.6322366479.

The spelling of 3820 in words is "three thousand, eight hundred twenty".