3311864768160 has 576 divisors, whose sum is σ = 13029103825920. Its totient is φ = 788926832640.

The previous prime is 3311864768099. The next prime is 3311864768167. The reversal of 3311864768160 is 618674681133.

3311864768160 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 8 + 6 + 476 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3311864768097 and 3311864768106.

It is not an unprimeable number, because it can be changed into a prime (3311864768167) 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, 15562956 + ... + 15774324.

It is an arithmetic number, because the mean of its divisors is an integer number (22619971920).

Almost surely, 2^{3311864768160} is an apocalyptic number.

3311864768160 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 3311864768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514551912960).

3311864768160 is an abundant number, since it is smaller than the sum of its proper divisors (9717239057760).

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

3311864768160 is a wasteful number, since it uses less digits than its factorization.

3311864768160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211443 (or 211423 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3311864768160 in words is "three trillion, three hundred eleven billion, eight hundred sixty-four million, seven hundred sixty-eight thousand, one hundred sixty".