3135734784 has 264 divisors, whose sum is σ = 11146815680. Its totient is φ = 826785792.

The previous prime is 3135734761. The next prime is 3135734801. The reversal of 3135734784 is 4874375313.

3135734784 is a `hidden beast` number, since 3 + 1 + 3 + 573 + 4 + 78 + 4 = 666.

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, 836787 + ... + 840525.

Almost surely, 2^3135734784 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 3135734784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573407840).

3135734784 is an abundant number, since it is smaller than the sum of its proper divisors (8011080896).

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

3135734784 is a wasteful number, since it uses less digits than its factorization.

3135734784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3764 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 3135734784 is about 55997.6319499316. The cubic root of 3135734784 is about 1463.6810198177.

The spelling of 3135734784 in words is "three billion, one hundred thirty-five million, seven hundred thirty-four thousand, seven hundred eighty-four".