3134085120 has 288 divisors, whose sum is σ = 11222789760. Its totient is φ = 808058880.

The previous prime is 3134085113. The next prime is 3134085173. The reversal of 3134085120 is 215804313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 2856412 + ... + 2857508.

It is an arithmetic number, because the mean of its divisors is an integer number (38968020).

Almost surely, 2^3134085120 is an apocalyptic number.

3134085120 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 3134085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611394880).

3134085120 is an abundant number, since it is smaller than the sum of its proper divisors (8088704640).

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

3134085120 is a wasteful number, since it uses less digits than its factorization.

3134085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3134085120 is about 55982.9002464145. The cubic root of 3134085120 is about 1463.4243011004.

Adding to 3134085120 its reverse (215804313), we get a palindrome (3349889433).

The spelling of 3134085120 in words is "three billion, one hundred thirty-four million, eighty-five thousand, one hundred twenty".