3117768000 has 224 divisors, whose sum is σ = 10576121088. Its totient is φ = 808704000.

The previous prime is 3117767981. The next prime is 3117768041. The reversal of 3117768000 is 8677113.

3117768000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886245 + ... + 889755.

Almost surely, 2^3117768000 is an apocalyptic number.

3117768000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3117768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288060544).

3117768000 is an abundant number, since it is smaller than the sum of its proper divisors (7458353088).

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

3117768000 is a wasteful number, since it uses less digits than its factorization.

3117768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 3117768000 is about 55836.9769955359. The cubic root of 3117768000 is about 1460.8801848410.

The spelling of 3117768000 in words is "three billion, one hundred seventeen million, seven hundred sixty-eight thousand".