3136938688 has 112 divisors (see below), whose sum is σ = 6839126784. Its totient is φ = 1418941440.

The previous prime is 3136938683. The next prime is 3136938713. The reversal of 3136938688 is 8868396313.

It is a super-2 number, since 2×3136938688² = 19680768664542322688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3136938683) 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 15 ways as a sum of consecutive naturals, for example, 14866903 + ... + 14867113.

It is an arithmetic number, because the mean of its divisors is an integer number (61063632).

Almost surely, 2^3136938688 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 3136938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419563392).

3136938688 is an abundant number, since it is smaller than the sum of its proper divisors (3702188096).

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

3136938688 is a wasteful number, since it uses less digits than its factorization.

3136938688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 55.

The square root of 3136938688 is about 56008.3805157764. The cubic root of 3136938688 is about 1463.8683130777.

The spelling of 3136938688 in words is "three billion, one hundred thirty-six million, nine hundred thirty-eight thousand, six hundred eighty-eight".