36789984 has 288 divisors, whose sum is σ = 137894400. Its totient is φ = 9434880.

The previous prime is 36789979. The next prime is 36790021. The reversal of 36789984 is 48998763.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36789984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465657 + ... + 465735.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^36789984 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 36789984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

36789984 is an abundant number, since it is smaller than the sum of its proper divisors (101104416).

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

36789984 is a wasteful number, since it uses less digits than its factorization.

36789984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 36789984 is about 6065.4747547080. The cubic root of 36789984 is about 332.5905201375.

It can be divided in two parts, 36789 and 984, that added together give a palindrome (37773).

The spelling of 36789984 in words is "thirty-six million, seven hundred eighty-nine thousand, nine hundred eighty-four".