3224892601728 has 192 divisors, whose sum is σ = 10646006342400. Its totient is φ = 917893868544.

The previous prime is 3224892601709. The next prime is 3224892601751. The reversal of 3224892601728 is 8271062984223.

3224892601728 is a `hidden beast` number, since 3 + 2 + 2 + 4 + 8 + 9 + 2 + 601 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 1360543 + ... + 2881121.

It is an arithmetic number, because the mean of its divisors is an integer number (55447949700).

Almost surely, 2^{3224892601728} 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 3224892601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323003171200).

3224892601728 is an abundant number, since it is smaller than the sum of its proper divisors (7421113740672).

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

3224892601728 is a wasteful number, since it uses less digits than its factorization.

3224892601728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520869 (or 1520854 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3224892601728 in words is "three trillion, two hundred twenty-four billion, eight hundred ninety-two million, six hundred one thousand, seven hundred twenty-eight".