3241664236800 has 864 divisors, whose sum is σ = 13650126336000. Its totient is φ = 744488755200.

The previous prime is 3241664236787. The next prime is 3241664236801. The reversal of 3241664236800 is 86324661423.

3241664236800 is a `hidden beast` number, since 3 + 2 + 4 + 166 + 423 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241664236801) 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, 36070321 + ... + 36160079.

Almost surely, 2^{3241664236800} is an apocalyptic number.

3241664236800 is a gapful number since it is divisible by the number (30) 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 3241664236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6825063168000).

3241664236800 is an abundant number, since it is smaller than the sum of its proper divisors (10408462099200).

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

3241664236800 is a wasteful number, since it uses less digits than its factorization.

3241664236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89824 (or 89799 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3241664236800 in words is "three trillion, two hundred forty-one billion, six hundred sixty-four million, two hundred thirty-six thousand, eight hundred".