3984004024009 has 21 divisors (see below), whose sum is σ = 4179166083309. Its totient is φ = 3797943171660.

The previous prime is 3984004023919. The next prime is 3984004024139. The reversal of 3984004024009 is 9004204004893.

The square root of 3984004024009 is 1995997.

It is a perfect power (a square), and thus also a powerful number.

3984004024009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3984004024009 - 2²⁷ = 3983869806281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3984004024709) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 59462746594 + ... + 59462746660.

It is an arithmetic number, because the mean of its divisors is an integer number (199007908729).

Almost surely, 2^{3984004024009} is an apocalyptic number.

3984004024009 is the 1995997-th square number.

3984004024009 is the 997999-th centered octagonal number.

It is an amenable number.

3984004024009 is a deficient number, since it is larger than the sum of its proper divisors (195162059300).

3984004024009 is an frugal number, since it uses more digits than its factorization.

3984004024009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 3984004024009 in words is "three trillion, nine hundred eighty-four billion, four million, twenty-four thousand, nine".