36009984 has 48 divisors (see below), whose sum is σ = 96019560. Its totient is φ = 12001280.

The previous prime is 36009983. The next prime is 36010031. The reversal of 36009984 is 48990063.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36009983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3214 + ... + 9074.

Almost surely, 2^36009984 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 36009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48009780).

36009984 is an abundant number, since it is smaller than the sum of its proper divisors (60009576).

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

36009984 is an equidigital number, since it uses as much as digits as its factorization.

36009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 36009984 is about 6000.8319423227. The cubic root of 36009984 is about 330.2232465511.

The spelling of 36009984 in words is "thirty-six million, nine thousand, nine hundred eighty-four".