3136784013 has 24 divisors (see below), whose sum is σ = 4945988736. Its totient is φ = 1899859200.

The previous prime is 3136783987. The next prime is 3136784017. The reversal of 3136784013 is 3104876313.

It is not a de Polignac number, because 3136784013 - 2⁵ = 3136783981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3136784017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158668 + ... + 177338.

It is an arithmetic number, because the mean of its divisors is an integer number (206082864).

Almost surely, 2^3136784013 is an apocalyptic number.

3136784013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3136784013 is a deficient number, since it is larger than the sum of its proper divisors (1809204723).

3136784013 is a wasteful number, since it uses less digits than its factorization.

3136784013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20385 (or 20382 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3136784013 is about 56006.9996786116. Note that the first 3 decimals coincide. The cubic root of 3136784013 is about 1463.8442527251.

Adding to 3136784013 its sum of digits (36), we get a square (3136784049 = 56007²).

The spelling of 3136784013 in words is "three billion, one hundred thirty-six million, seven hundred eighty-four thousand, thirteen".