3986600 has 48 divisors (see below), whose sum is σ = 9582720. Its totient is φ = 1540800.

The previous prime is 3986597. The next prime is 3986611. The reversal of 3986600 is 66893.

It is a happy number.

3986600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 5879 + ... + 6521.

It is an arithmetic number, because the mean of its divisors is an integer number (199640).

Almost surely, 2^3986600 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 3986600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791360).

3986600 is an abundant number, since it is smaller than the sum of its proper divisors (5596120).

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

3986600 is a wasteful number, since it uses less digits than its factorization.

3986600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 3986600 is about 1996.6471896657. The cubic root of 3986600 is about 158.5626471034.

The spelling of 3986600 in words is "three million, nine hundred eighty-six thousand, six hundred".