3111387868224 has 280 divisors, whose sum is σ = 9301636863288. Its totient is φ = 1028319805440.

The previous prime is 3111387868217. The next prime is 3111387868241. The reversal of 3111387868224 is 4228687831113.

3111387868224 is a `hidden beast` number, since 31 + 1 + 1 + 387 + 8 + 6 + 8 + 224 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2386505908224 + 724881960000 = 1544832^2 + 851400^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 733642744 + ... + 733646984.

Almost surely, 2^{3111387868224} 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 3111387868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650818431644).

3111387868224 is an abundant number, since it is smaller than the sum of its proper divisors (6190248995064).

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

3111387868224 is a wasteful number, since it uses less digits than its factorization.

3111387868224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435 (or 5416 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 3111387868224 in words is "three trillion, one hundred eleven billion, three hundred eighty-seven million, eight hundred sixty-eight thousand, two hundred twenty-four".