36306404112384 has 1440 divisors, whose sum is σ = 131701476947040. Its totient is φ = 9760011190272.

The previous prime is 36306404112383. The next prime is 36306404112389. The reversal of 36306404112384 is 48321140460363.

36306404112384 is a `hidden beast` number, since 3 + 6 + 3 + 0 + 6 + 404 + 1 + 1 + 238 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36306404112383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 107734136664 + ... + 107734137000.

It is an arithmetic number, because the mean of its divisors is an integer number (91459358991).

Almost surely, 2^{36306404112384} 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 36306404112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65850738473520).

36306404112384 is an abundant number, since it is smaller than the sum of its proper divisors (95395072834656).

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

36306404112384 is a wasteful number, since it uses less digits than its factorization.

36306404112384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 36306404112384 in words is "thirty-six trillion, three hundred six billion, four hundred four million, one hundred twelve thousand, three hundred eighty-four".