3111201660336 has 320 divisors, whose sum is σ = 10110991712256. Its totient is φ = 807489957120.

The previous prime is 3111201660331. The next prime is 3111201660377. The reversal of 3111201660336 is 6330661021113.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3111201660297 and 3111201660306.

It is not an unprimeable number, because it can be changed into a prime (3111201660331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1094336131 + ... + 1094338973.

Almost surely, 2^{3111201660336} 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 3111201660336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055495856128).

3111201660336 is an abundant number, since it is smaller than the sum of its proper divisors (6999790051920).

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

3111201660336 is a wasteful number, since it uses less digits than its factorization.

3111201660336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

Adding to 3111201660336 its reverse (6330661021113), we get a palindrome (9441862681449).

The spelling of 3111201660336 in words is "three trillion, one hundred eleven billion, two hundred one million, six hundred sixty thousand, three hundred thirty-six".