36303342856704 has 1600 divisors, whose sum is σ = 145117247616000. Its totient is φ = 8932421836800.

The previous prime is 36303342856699. The next prime is 36303342856751. The reversal of 36303342856704 is 40765824330363.

36303342856704 is a `hidden beast` number, since 3 + 6 + 3 + 0 + 33 + 42 + 8 + 567 + 0 + 4 = 666.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 2972997159 + ... + 2973009369.

It is an arithmetic number, because the mean of its divisors is an integer number (90698279760).

Almost surely, 2^{36303342856704} 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 36303342856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72558623808000).

36303342856704 is an abundant number, since it is smaller than the sum of its proper divisors (108813904759296).

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

36303342856704 is a wasteful number, since it uses less digits than its factorization.

36303342856704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12292 (or 12253 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 54.

The spelling of 36303342856704 in words is "thirty-six trillion, three hundred three billion, three hundred forty-two million, eight hundred fifty-six thousand, seven hundred four".