3329285584688 has 240 divisors, whose sum is σ = 7787495020800. Its totient is φ = 1349943114240.

The previous prime is 3329285584679. The next prime is 3329285584699. The reversal of 3329285584688 is 8864855829233.

It is a Cunningham number, because it is equal to 1824633²-1.

It is a super-2 number, since 2×3329285584688² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890419523 + ... + 890423261.

It is an arithmetic number, because the mean of its divisors is an integer number (32447895920).

Almost surely, 2^{3329285584688} 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 3329285584688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893747510400).

3329285584688 is an abundant number, since it is smaller than the sum of its proper divisors (4458209436112).

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

3329285584688 is a wasteful number, since it uses less digits than its factorization.

3329285584688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3915 counting only the distinct ones).

The product of its digits is 796262400, while the sum is 71.

The spelling of 3329285584688 in words is "three trillion, three hundred twenty-nine billion, two hundred eighty-five million, five hundred eighty-four thousand, six hundred eighty-eight".