3879820 has 72 divisors (see below), whose sum is σ = 9824976. Its totient is φ = 1282176.

The previous prime is 3879817. The next prime is 3879829. The reversal of 3879820 is 289783.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 3879820.

It is not an unprimeable number, because it can be changed into a prime (3879829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36207 + ... + 36313.

It is an arithmetic number, because the mean of its divisors is an integer number (136458).

Almost surely, 2^3879820 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 3879820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912488).

3879820 is an abundant number, since it is smaller than the sum of its proper divisors (5945156).

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

3879820 is a wasteful number, since it uses less digits than its factorization.

3879820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 3879820 is about 1969.7258692519. The cubic root of 3879820 is about 157.1341301726.

Subtracting from 3879820 its sum of digits (37), we obtain a palindrome (3879783).

The spelling of 3879820 in words is "three million, eight hundred seventy-nine thousand, eight hundred twenty".