3984660 has 96 divisors (see below), whose sum is σ = 12741120. Its totient is φ = 1033344.

The previous prime is 3984653. The next prime is 3984677. The reversal of 3984660 is 664893.

3984660 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 congruent number.

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 31 ways as a sum of consecutive naturals, for example, 25302 + ... + 25458.

It is an arithmetic number, because the mean of its divisors is an integer number (132720).

Almost surely, 2^3984660 is an apocalyptic number.

3984660 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 3984660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370560).

3984660 is an abundant number, since it is smaller than the sum of its proper divisors (8756460).

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

3984660 is a wasteful number, since it uses less digits than its factorization.

3984660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3984660 is about 1996.1613161265. The cubic root of 3984660 is about 158.5369224720.

3984660 divided by its sum of digits (36) gives a triangular number (110685 = T₄₇₀).

The spelling of 3984660 in words is "three million, nine hundred eighty-four thousand, six hundred sixty".