36120039984 has 240 divisors, whose sum is σ = 123151641600. Its totient is φ = 9652690944.

The previous prime is 36120039959. The next prime is 36120040027. The reversal of 36120039984 is 48993002163.

It is a happy number.

36120039984 is a `hidden beast` number, since 361 + 200 + 3 + 9 + 9 + 84 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1501072 + ... + 1524944.

It is an arithmetic number, because the mean of its divisors is an integer number (513131840).

Almost surely, 2^36120039984 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 36120039984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61575820800).

36120039984 is an abundant number, since it is smaller than the sum of its proper divisors (87031601616).

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

36120039984 is a wasteful number, since it uses less digits than its factorization.

36120039984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23992 (or 23983 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 36120039984 in words is "thirty-six billion, one hundred twenty million, thirty-nine thousand, nine hundred eighty-four".