3111978411360 has 2016 divisors, whose sum is σ = 14371413154560. Its totient is φ = 621511667712.

The previous prime is 3111978411337. The next prime is 3111978411389. The reversal of 3111978411360 is 631148791113.

3111978411360 is a `hidden beast` number, since 3 + 11 + 197 + 8 + 411 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 335 ways as a sum of consecutive naturals, for example, 2621716687 + ... + 2621717873.

It is an arithmetic number, because the mean of its divisors is an integer number (7128677160).

Almost surely, 2^{3111978411360} is an apocalyptic number.

3111978411360 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 3111978411360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185706577280).

3111978411360 is an abundant number, since it is smaller than the sum of its proper divisors (11259434743200).

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

3111978411360 is a wasteful number, since it uses less digits than its factorization.

3111978411360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 3111978411360 in words is "three trillion, one hundred eleven billion, nine hundred seventy-eight million, four hundred eleven thousand, three hundred sixty".