3294839616768 has 1296 divisors, whose sum is σ = 12248663132160. Its totient is φ = 845365248000.

The previous prime is 3294839616721. The next prime is 3294839616773. The reversal of 3294839616768 is 8676169384923.

3294839616768 is a `hidden beast` number, since 3 + 29 + 483 + 9 + 6 + 1 + 67 + 68 = 666.

It is a super-2 number, since 2×3294839616768² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (564350976) is a multiple of the sum of its prime factors (864).

It is a junction number, because it is equal to n+sod(n) for n = 3294839616696 and 3294839616705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4700198818 + ... + 4700199518.

It is an arithmetic number, because the mean of its divisors is an integer number (9451128960).

Almost surely, 2^{3294839616768} 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 3294839616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124331566080).

3294839616768 is an abundant number, since it is smaller than the sum of its proper divisors (8953823515392).

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

3294839616768 is a wasteful number, since it uses less digits than its factorization.

3294839616768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 840 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 3294839616768 in words is "three trillion, two hundred ninety-four billion, eight hundred thirty-nine million, six hundred sixteen thousand, seven hundred sixty-eight".