3122689248 has 216 divisors, whose sum is σ = 10464461280. Its totient is φ = 880588800.

The previous prime is 3122689223. The next prime is 3122689279. The reversal of 3122689248 is 8429862213.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1113448 + ... + 1116248.

It is an arithmetic number, because the mean of its divisors is an integer number (48446580).

Almost surely, 2^3122689248 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 3122689248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232230640).

3122689248 is an abundant number, since it is smaller than the sum of its proper divisors (7341772032).

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

3122689248 is a wasteful number, since it uses less digits than its factorization.

3122689248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2892 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 3122689248 is about 55881.0276211882. The cubic root of 3122689248 is about 1461.6484239913.

The spelling of 3122689248 in words is "three billion, one hundred twenty-two million, six hundred eighty-nine thousand, two hundred forty-eight".