3188778813 has 64 divisors (see below), whose sum is σ = 5322240000. Its totient is φ = 1870128000.

The previous prime is 3188778809. The next prime is 3188778847.

3188778813 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3188778813 - 2² = 3188778809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3188778813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3188778713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1594188 + ... + 1596186.

It is an arithmetic number, because the mean of its divisors is an integer number (83160000).

Almost surely, 2^3188778813 is an apocalyptic number.

3188778813 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3188778813 is a deficient number, since it is larger than the sum of its proper divisors (2133461187).

3188778813 is a wasteful number, since it uses less digits than its factorization.

3188778813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2185 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 3188778813 is about 56469.2731757723. The cubic root of 3188778813 is about 1471.8881152468. Note that the first 3 decimals are identical.

The spelling of 3188778813 in words is "three billion, one hundred eighty-eight million, seven hundred seventy-eight thousand, eight hundred thirteen".