36349885728 has 384 divisors, whose sum is σ = 119821040640. Its totient is φ = 10645032960.

The previous prime is 36349885717. The next prime is 36349885801. The reversal of 36349885728 is 82758894363.

36349885728 is a `hidden beast` number, since 3 + 63 + 498 + 85 + 7 + 2 + 8 = 666.

36349885728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19531518 + ... + 19533378.

It is an arithmetic number, because the mean of its divisors is an integer number (312033960).

Almost surely, 2^36349885728 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 36349885728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59910520320).

36349885728 is an abundant number, since it is smaller than the sum of its proper divisors (83471154912).

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

36349885728 is a wasteful number, since it uses less digits than its factorization.

36349885728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1963 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 36349885728 in words is "thirty-six billion, three hundred forty-nine million, eight hundred eighty-five thousand, seven hundred twenty-eight".