3311792641080 has 1152 divisors, whose sum is σ = 14152535654400. Its totient is φ = 663460761600.

The previous prime is 3311792641051. The next prime is 3311792641181. The reversal of 3311792641080 is 801462971133.

3311792641080 is a `hidden beast` number, since 3 + 311 + 79 + 264 + 1 + 0 + 8 + 0 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 1882769241 + ... + 1882770999.

It is an arithmetic number, because the mean of its divisors is an integer number (12285187200).

Almost surely, 2^{3311792641080} is an apocalyptic number.

3311792641080 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 3311792641080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076267827200).

3311792641080 is an abundant number, since it is smaller than the sum of its proper divisors (10840743013320).

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

3311792641080 is a wasteful number, since it uses less digits than its factorization.

3311792641080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 3311792641080 in words is "three trillion, three hundred eleven billion, seven hundred ninety-two million, six hundred forty-one thousand, eighty".