36728208102834 has 48 divisors (see below), whose sum is σ = 79863082299000. Its totient is φ = 12198846320640.

The previous prime is 36728208102731. The next prime is 36728208102853. The reversal of 36728208102834 is 43820180282763.

36728208102834 is a `hidden beast` number, since 3 + 6 + 7 + 282 + 0 + 81 + 0 + 283 + 4 = 666.

36728208102834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10073342865609 + 26654865237225 = 3173853^2 + 5162835^2 .

It is a super-2 number, since 2×36728208102834² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264205954 + ... + 264344930.

Almost surely, 2^{36728208102834} is an apocalyptic number.

36728208102834 is an abundant number, since it is smaller than the sum of its proper divisors (43134874196166).

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

36728208102834 is a wasteful number, since it uses less digits than its factorization.

36728208102834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191515 (or 191512 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 36728208102834 in words is "thirty-six trillion, seven hundred twenty-eight billion, two hundred eight million, one hundred two thousand, eight hundred thirty-four".