36285984 has 144 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 10091520.

The previous prime is 36285983. The next prime is 36286001. The reversal of 36285984 is 48958263.

36285984 is a `hidden beast` number, since 36 + 28 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×36285984³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36285983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82437 + ... + 82875.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 2^36285984 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 36285984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

36285984 is an abundant number, since it is smaller than the sum of its proper divisors (84794976).

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

36285984 is a wasteful number, since it uses less digits than its factorization.

36285984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 492 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 36285984 is about 6023.7848567159. The cubic root of 36285984 is about 331.0647701096.

The spelling of 36285984 in words is "thirty-six million, two hundred eighty-five thousand, nine hundred eighty-four".