3301801671168 has 2560 divisors, whose sum is σ = 13938307891200. Its totient is φ = 744107212800.

The previous prime is 3301801671139. The next prime is 3301801671169. The reversal of 3301801671168 is 8611761081033.

3301801671168 is a `hidden beast` number, since 330 + 1 + 80 + 16 + 71 + 168 = 666.

It is not an unprimeable number, because it can be changed into a prime (3301801671169) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18445819303 + ... + 18445819481.

It is an arithmetic number, because the mean of its divisors is an integer number (5444651520).

Almost surely, 2^{3301801671168} 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 3301801671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969153945600).

3301801671168 is an abundant number, since it is smaller than the sum of its proper divisors (10636506220032).

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

3301801671168 is a wasteful number, since it uses less digits than its factorization.

3301801671168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 3301801671168 in words is "three trillion, three hundred one billion, eight hundred one million, six hundred seventy-one thousand, one hundred sixty-eight".