3311012081664 has 624 divisors, whose sum is σ = 11514475315200. Its totient is φ = 915378831360.

The previous prime is 3311012081647. The next prime is 3311012081681. The reversal of 3311012081664 is 4661802101133.

3311012081664 is a `hidden beast` number, since 331 + 101 + 208 + 16 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3311012081647) and next prime (3311012081681).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 391970689 + ... + 391979135.

It is an arithmetic number, because the mean of its divisors is an integer number (18452684800).

Almost surely, 2^{3311012081664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311012081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757237657600).

3311012081664 is an abundant number, since it is smaller than the sum of its proper divisors (8203463233536).

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

3311012081664 is an equidigital number, since it uses as much as digits as its factorization.

3311012081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8529 (or 8490 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 3311012081664 its reverse (4661802101133), we get a palindrome (7972814182797).

The spelling of 3311012081664 in words is "three trillion, three hundred eleven billion, twelve million, eighty-one thousand, six hundred sixty-four".