3122578368 has 336 divisors, whose sum is σ = 11292206016. Its totient is φ = 802897920.

The previous prime is 3122578357. The next prime is 3122578373. The reversal of 3122578368 is 8638752213.

3122578368 is a `hidden beast` number, since 3 + 12 + 2 + 578 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2148330 + ... + 2149782.

It is an arithmetic number, because the mean of its divisors is an integer number (33607756).

Almost surely, 2^3122578368 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 3122578368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646103008).

3122578368 is an abundant number, since it is smaller than the sum of its proper divisors (8169627648).

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

3122578368 is a wasteful number, since it uses less digits than its factorization.

3122578368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1519 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 3122578368 is about 55880.0355046415. The cubic root of 3122578368 is about 1461.6311237860.

The spelling of 3122578368 in words is "three billion, one hundred twenty-two million, five hundred seventy-eight thousand, three hundred sixty-eight".