3115689984 has 288 divisors, whose sum is σ = 9975813120. Its totient is φ = 936714240.

The previous prime is 3115689961. The next prime is 3115689991. The reversal of 3115689984 is 4899865113.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 3115689984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24532929 + ... + 24533055.

It is an arithmetic number, because the mean of its divisors is an integer number (34638240).

Almost surely, 2^3115689984 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 3115689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987906560).

3115689984 is an abundant number, since it is smaller than the sum of its proper divisors (6860123136).

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

3115689984 is a wasteful number, since it uses less digits than its factorization.

3115689984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 143 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 3115689984 is about 55818.3660097642. The cubic root of 3115689984 is about 1460.5555501350. Note that the first 5 decimals are identical.

The spelling of 3115689984 in words is "three billion, one hundred fifteen million, six hundred eighty-nine thousand, nine hundred eighty-four".