3285697257216 has 576 divisors, whose sum is σ = 11435200842240. Its totient is φ = 919397007360.

The previous prime is 3285697257211. The next prime is 3285697257223. The reversal of 3285697257216 is 6127527965823.

3285697257216 is a `hidden beast` number, since 3 + 2 + 8 + 56 + 9 + 7 + 2 + 572 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285697257211) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 68480851 + ... + 68528813.

It is an arithmetic number, because the mean of its divisors is an integer number (19852779240).

Almost surely, 2^{3285697257216} is an apocalyptic number.

3285697257216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285697257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717600421120).

3285697257216 is an abundant number, since it is smaller than the sum of its proper divisors (8149503585024).

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

3285697257216 is a wasteful number, since it uses less digits than its factorization.

3285697257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48069 (or 48049 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 3285697257216 in words is "three trillion, two hundred eighty-five billion, six hundred ninety-seven million, two hundred fifty-seven thousand, two hundred sixteen".