3984084 has 36 divisors (see below), whose sum is σ = 10846836. Its totient is φ = 1225728.

The previous prime is 3984073. The next prime is 3984109. The reversal of 3984084 is 4804893.

It can be written as a sum of positive squares in 2 ways, for example, as 2471184 + 1512900 = 1572^2 + 1230^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3789 + ... + 4724.

It is an arithmetic number, because the mean of its divisors is an integer number (301301).

Almost surely, 2^3984084 is an apocalyptic number.

It is an amenable number.

3984084 is an abundant number, since it is smaller than the sum of its proper divisors (6862752).

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

3984084 is a wasteful number, since it uses less digits than its factorization.

3984084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8536 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3984084 is about 1996.0170339955. The cubic root of 3984084 is about 158.5292830358.

The spelling of 3984084 in words is "three million, nine hundred eighty-four thousand, eighty-four".