3134117184 has 224 divisors, whose sum is σ = 9647285760. Its totient is φ = 887961600.

The previous prime is 3134117159. The next prime is 3134117191. The reversal of 3134117184 is 4817114313.

It is a happy number.

3134117184 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 3330154 + ... + 3331094.

It is an arithmetic number, because the mean of its divisors is an integer number (43068240).

Almost surely, 2^3134117184 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 3134117184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823642880).

3134117184 is an abundant number, since it is smaller than the sum of its proper divisors (6513168576).

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

3134117184 is a wasteful number, since it uses less digits than its factorization.

3134117184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1059 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 3134117184 is about 55983.1866188412. The cubic root of 3134117184 is about 1463.4292917196.

The spelling of 3134117184 in words is "three billion, one hundred thirty-four million, one hundred seventeen thousand, one hundred eighty-four".