3134707070976 has 720 divisors, whose sum is σ = 10254697132680. Its totient is φ = 948388331520.

The previous prime is 3134707070947. The next prime is 3134707070981. The reversal of 3134707070976 is 6790707074313.

3134707070976 is a `hidden beast` number, since 3 + 13 + 470 + 7 + 0 + 70 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14856431511 + ... + 14856431721.

Almost surely, 2^{3134707070976} is an apocalyptic number.

3134707070976 is a gapful number since it is divisible by the number (36) 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 3134707070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127348566340).

3134707070976 is an abundant number, since it is smaller than the sum of its proper divisors (7119990061704).

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

3134707070976 is an equidigital number, since it uses as much as digits as its factorization.

3134707070976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4667544, while the sum is 54.

The spelling of 3134707070976 in words is "three trillion, one hundred thirty-four billion, seven hundred seven million, seventy thousand, nine hundred seventy-six".