3312861646752 has 576 divisors, whose sum is σ = 11184182231040. Its totient is φ = 910645051392.

The previous prime is 3312861646751. The next prime is 3312861646781. The reversal of 3312861646752 is 2576461682133.

3312861646752 is a `hidden beast` number, since 3 + 3 + 12 + 8 + 616 + 4 + 6 + 7 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3312861646751) 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 95 ways as a sum of consecutive naturals, for example, 1753763824 + ... + 1753765712.

It is an arithmetic number, because the mean of its divisors is an integer number (19416983040).

Almost surely, 2^{3312861646752} is an apocalyptic number.

3312861646752 is a gapful number since it is divisible by the number (32) 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 3312861646752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592091115520).

3312861646752 is an abundant number, since it is smaller than the sum of its proper divisors (7871320584288).

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

3312861646752 is a wasteful number, since it uses less digits than its factorization.

3312861646752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2254 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 3312861646752 in words is "three trillion, three hundred twelve billion, eight hundred sixty-one million, six hundred forty-six thousand, seven hundred fifty-two".