3260543311872 has 1344 divisors, whose sum is σ = 12310772318208. Its totient is φ = 806879232000.

The previous prime is 3260543311859. The next prime is 3260543311873. The reversal of 3260543311872 is 2781133450623.

3260543311872 is a `hidden beast` number, since 3 + 2 + 6 + 0 + 543 + 31 + 1 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3260543311872² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3260543311873) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 17070907297 + ... + 17070907487.

It is an arithmetic number, because the mean of its divisors is an integer number (9159800832).

Almost surely, 2^{3260543311872} is an apocalyptic number.

3260543311872 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 3260543311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155386159104).

3260543311872 is an abundant number, since it is smaller than the sum of its proper divisors (9050229006336).

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

3260543311872 is a wasteful number, since it uses less digits than its factorization.

3260543311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3260543311872 in words is "three trillion, two hundred sixty billion, five hundred forty-three million, three hundred eleven thousand, eight hundred seventy-two".