3986820 has 120 divisors (see below), whose sum is σ = 13172544. Its totient is φ = 1007424.

The previous prime is 3986813. The next prime is 3986839. The reversal of 3986820 is 286893.

3986820 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 (36).

It is a d-powerful number, because it can be written as 3¹¹ + 9 + 8⁵ + 6⁸ + 8⁷ + 2⁷ + 0 .

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 39 ways as a sum of consecutive naturals, for example, 37207 + ... + 37313.

Almost surely, 2^3986820 is an apocalyptic number.

3986820 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 3986820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272).

3986820 is an abundant number, since it is smaller than the sum of its proper divisors (9185724).

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

3986820 is a wasteful number, since it uses less digits than its factorization.

3986820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3986820 is about 1996.7022812628. The cubic root of 3986820 is about 158.5655638027.

The spelling of 3986820 in words is "three million, nine hundred eighty-six thousand, eight hundred twenty".