33704960329768 has 256 divisors, whose sum is σ = 81422756352000. Its totient is φ = 12713255368704.

The previous prime is 33704960329697. The next prime is 33704960329853. The reversal of 33704960329768 is 86792306940733.

It is a super-2 number, since 2×33704960329768² (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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11164278163 + ... + 11164281181.

It is an arithmetic number, because the mean of its divisors is an integer number (318057642000).

Almost surely, 2^{33704960329768} 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 33704960329768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711378176000).

33704960329768 is an abundant number, since it is smaller than the sum of its proper divisors (47717796022232).

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

33704960329768 is a wasteful number, since it uses less digits than its factorization.

33704960329768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 67.

The spelling of 33704960329768 in words is "thirty-three trillion, seven hundred four billion, nine hundred sixty million, three hundred twenty-nine thousand, seven hundred sixty-eight".