3984509644289 has 16 divisors (see below), whose sum is σ = 4009237274880. Its totient is φ = 3959863971840.

The previous prime is 3984509644279. The next prime is 3984509644307. The reversal of 3984509644289 is 9824469054893.

3984509644289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3984509644289 - 2²⁴ = 3984492867073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3984509644279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214893359 + ... + 214911899.

It is an arithmetic number, because the mean of its divisors is an integer number (250577329680).

Almost surely, 2^{3984509644289} is an apocalyptic number.

It is an amenable number.

3984509644289 is a deficient number, since it is larger than the sum of its proper divisors (24727630591).

3984509644289 is a wasteful number, since it uses less digits than its factorization.

3984509644289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20680.

The product of its (nonzero) digits is 537477120, while the sum is 71.

The spelling of 3984509644289 in words is "three trillion, nine hundred eighty-four billion, five hundred nine million, six hundred forty-four thousand, two hundred eighty-nine".