3134957781060 has 288 divisors, whose sum is σ = 11343141089280. Its totient is φ = 685239388416.

The previous prime is 3134957781041. The next prime is 3134957781061. The reversal of 3134957781060 is 601877594313.

3134957781060 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 9 + 577 + 8 + 1 + 0 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3134957780988 and 3134957781006.

It is not an unprimeable number, because it can be changed into a prime (3134957781061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146599129 + ... + 146620511.

It is an arithmetic number, because the mean of its divisors is an integer number (39385906560).

Almost surely, 2^{3134957781060} is an apocalyptic number.

3134957781060 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 3134957781060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671570544640).

3134957781060 is an abundant number, since it is smaller than the sum of its proper divisors (8208183308220).

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

3134957781060 is a wasteful number, since it uses less digits than its factorization.

3134957781060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26487 (or 26482 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 3134957781060 in words is "three trillion, one hundred thirty-four billion, nine hundred fifty-seven million, seven hundred eighty-one thousand, sixty".