3311587794816 has 2304 divisors, whose sum is σ = 13272517440000. Its totient is φ = 816427745280.

The previous prime is 3311587794773. The next prime is 3311587794829. The reversal of 3311587794816 is 6184977851133.

3311587794816 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 5 + 87 + 79 + 481 + 6 = 666.

It is a super-2 number, since 2×3311587794816² (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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 106825412721 + ... + 106825412751.

It is an arithmetic number, because the mean of its divisors is an integer number (5760641250).

Almost surely, 2^{3311587794816} is an apocalyptic number.

3311587794816 is a gapful number since it is divisible by the number (36) 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 3311587794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636258720000).

3311587794816 is an abundant number, since it is smaller than the sum of its proper divisors (9960929645184).

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

3311587794816 is an equidigital number, since it uses as much as digits as its factorization.

3311587794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 79 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 3311587794816 in words is "three trillion, three hundred eleven billion, five hundred eighty-seven million, seven hundred ninety-four thousand, eight hundred sixteen".