3296001866784 has 384 divisors, whose sum is σ = 10461562159104. Its totient is φ = 896888832000.

The previous prime is 3296001866783. The next prime is 3296001866789. The reversal of 3296001866784 is 4876681006923.

It is a super-2 number, since 2×3296001866784² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3296001866783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39470644 + ... + 39554060.

It is an arithmetic number, because the mean of its divisors is an integer number (27243651456).

Almost surely, 2^{3296001866784} is an apocalyptic number.

3296001866784 is a gapful number since it is divisible by the number (34) 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 3296001866784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230781079552).

3296001866784 is an abundant number, since it is smaller than the sum of its proper divisors (7165560292320).

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

3296001866784 is a wasteful number, since it uses less digits than its factorization.

3296001866784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83560 (or 83552 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 3296001866784 in words is "three trillion, two hundred ninety-six billion, one million, eight hundred sixty-six thousand, seven hundred eighty-four".