3212135088768 has 144 divisors (see below), whose sum is σ = 9551044438650. Its totient is φ = 1036172252160.

The previous prime is 3212135088749. The next prime is 3212135088779. The reversal of 3212135088768 is 8678805312123.

3212135088768 is a `hidden beast` number, since 3 + 2 + 121 + 3 + 508 + 8 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2004580252224 + 1207554836544 = 1415832^2 + 1098888^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 343663 + ... + 2557806.

Almost surely, 2^{3212135088768} 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 3212135088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775522219325).

3212135088768 is an abundant number, since it is smaller than the sum of its proper divisors (6338909349882).

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

3212135088768 is a wasteful number, since it uses less digits than its factorization.

3212135088768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901551 (or 2901505 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 3212135088768 in words is "three trillion, two hundred twelve billion, one hundred thirty-five million, eighty-eight thousand, seven hundred sixty-eight".