33736884072072 has 16 divisors (see below), whose sum is σ = 84342210180240. Its totient is φ = 11245628024016.

The previous prime is 33736884072049. The next prime is 33736884072083. The reversal of 33736884072072 is 27027048863733.

It is a happy number.

It is a super-2 number, since 2×33736884072072² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33736884071997 and 33736884072015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 702851751478 + ... + 702851751525.

It is an arithmetic number, because the mean of its divisors is an integer number (5271388136265).

Almost surely, 2^{33736884072072} is an apocalyptic number.

It is an amenable number.

33736884072072 is an abundant number, since it is smaller than the sum of its proper divisors (50605326108168).

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

33736884072072 is a wasteful number, since it uses less digits than its factorization.

33736884072072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405703503012 (or 1405703503008 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 60.

The spelling of 33736884072072 in words is "thirty-three trillion, seven hundred thirty-six billion, eight hundred eighty-four million, seventy-two thousand, seventy-two".