3285928829568 has 576 divisors, whose sum is σ = 11276015788800. Its totient is φ = 844632391680.

The previous prime is 3285928829551. The next prime is 3285928829597. The reversal of 3285928829568 is 8659288295823.

It is a super-2 number, since 2×3285928829568² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3285928829568.

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 71 ways as a sum of consecutive naturals, for example, 220835953 + ... + 220850831.

It is an arithmetic number, because the mean of its divisors is an integer number (19576416300).

Almost surely, 2^{3285928829568} 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 3285928829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638007894400).

3285928829568 is an abundant number, since it is smaller than the sum of its proper divisors (7990086959232).

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

3285928829568 is a wasteful number, since it uses less digits than its factorization.

3285928829568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15029 (or 14999 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 75.

The spelling of 3285928829568 in words is "three trillion, two hundred eighty-five billion, nine hundred twenty-eight million, eight hundred twenty-nine thousand, five hundred sixty-eight".