3109224627468 has 288 divisors, whose sum is σ = 8625011146752. Its totient is φ = 977840942400.

The previous prime is 3109224627433. The next prime is 3109224627473. The reversal of 3109224627468 is 8647264229013.

It is a happy number.

3109224627468 is a `hidden beast` number, since 3 + 1 + 0 + 9 + 2 + 2 + 4 + 627 + 4 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 817569655 + ... + 817573457.

Almost surely, 2^{3109224627468} 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 3109224627468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312505573376).

3109224627468 is an abundant number, since it is smaller than the sum of its proper divisors (5515786519284).

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

3109224627468 is a wasteful number, since it uses less digits than its factorization.

3109224627468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3109224627468 in words is "three trillion, one hundred nine billion, two hundred twenty-four million, six hundred twenty-seven thousand, four hundred sixty-eight".