3986766 has 64 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 1111968.

The previous prime is 3986761. The next prime is 3986767. The reversal of 3986766 is 6676893.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3986761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19935 + ... + 20133.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 2^3986766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3986766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

3986766 is an abundant number, since it is smaller than the sum of its proper divisors (6381234).

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

3986766 is a wasteful number, since it uses less digits than its factorization.

3986766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3986766 is about 1996.6887589206. The cubic root of 3986766 is about 158.5648478955.

The spelling of 3986766 in words is "three million, nine hundred eighty-six thousand, seven hundred sixty-six".