3134768000 has 256 divisors, whose sum is σ = 9596845440. Its totient is φ = 991641600.

The previous prime is 3134767981. The next prime is 3134768011. The reversal of 3134768000 is 8674313.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1454924 + ... + 1457076.

Almost surely, 2^3134768000 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 3134768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798422720).

3134768000 is an abundant number, since it is smaller than the sum of its proper divisors (6462077440).

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

3134768000 is a wasteful number, since it uses less digits than its factorization.

3134768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 3134768000 is about 55988.9989194306. The cubic root of 3134768000 is about 1463.5305809849.

The spelling of 3134768000 in words is "three billion, one hundred thirty-four million, seven hundred sixty-eight thousand".