3326873606784 has 1536 divisors, whose sum is σ = 12673610127360. Its totient is φ = 845451509760.

The previous prime is 3326873606729. The next prime is 3326873606789. The reversal of 3326873606784 is 4876063786233.

3326873606784 is a `hidden beast` number, since 3 + 3 + 268 + 7 + 360 + 6 + 7 + 8 + 4 = 666.

It is a super-2 number, since 2×3326873606784² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3326873606789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10050977499 + ... + 10050977829.

It is an arithmetic number, because the mean of its divisors is an integer number (8251048260).

Almost surely, 2^{3326873606784} 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 3326873606784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336805063680).

3326873606784 is an abundant number, since it is smaller than the sum of its proper divisors (9346736520576).

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

3326873606784 is a wasteful number, since it uses less digits than its factorization.

3326873606784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 3326873606784 in words is "three trillion, three hundred twenty-six billion, eight hundred seventy-three million, six hundred six thousand, seven hundred eighty-four".