3285848659968 has 576 divisors, whose sum is σ = 11388535441920. Its totient is φ = 892355346432.

The previous prime is 3285848659927. The next prime is 3285848659997. The reversal of 3285848659968 is 8699568485823.

3285848659968 is a `hidden beast` number, since 3 + 2 + 85 + 8 + 486 + 59 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3285848659968² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483707580 + ... + 483714372.

It is an arithmetic number, because the mean of its divisors is an integer number (19771762920).

Almost surely, 2^{3285848659968} 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 3285848659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5694267720960).

3285848659968 is an abundant number, since it is smaller than the sum of its proper divisors (8102686781952).

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

3285848659968 is a wasteful number, since it uses less digits than its factorization.

3285848659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7014 (or 6991 counting only the distinct ones).

The product of its digits is 7166361600, while the sum is 81.

The spelling of 3285848659968 in words is "three trillion, two hundred eighty-five billion, eight hundred forty-eight million, six hundred fifty-nine thousand, nine hundred sixty-eight".