3216536928864 has 288 divisors, whose sum is σ = 10569561440256. Its totient is φ = 908875054080.

The previous prime is 3216536928827. The next prime is 3216536928937. The reversal of 3216536928864 is 4688296356123.

3216536928864 is a `hidden beast` number, since 3 + 2 + 1 + 6 + 536 + 92 + 8 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3216536928864² (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 a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 81142329 + ... + 81181959.

It is an arithmetic number, because the mean of its divisors is an integer number (36699866112).

Almost surely, 2^{3216536928864} 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 3216536928864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284780720128).

3216536928864 is an abundant number, since it is smaller than the sum of its proper divisors (7353024511392).

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

3216536928864 is a wasteful number, since it uses less digits than its factorization.

3216536928864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40098 (or 40087 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 3216536928864 in words is "three trillion, two hundred sixteen billion, five hundred thirty-six million, nine hundred twenty-eight thousand, eight hundred sixty-four".