3144839688 has 64 divisors (see below), whose sum is σ = 8756668800. Its totient is φ = 1045759680.

The previous prime is 3144839683. The next prime is 3144839759. The reversal of 3144839688 is 8869384413.

3144839688 is a `hidden beast` number, since 31 + 448 + 3 + 96 + 88 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3144839683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73645 + ... + 108227.

It is an arithmetic number, because the mean of its divisors is an integer number (136822950).

Almost surely, 2^3144839688 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 3144839688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378334400).

3144839688 is an abundant number, since it is smaller than the sum of its proper divisors (5611829112).

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

3144839688 is a wasteful number, since it uses less digits than its factorization.

3144839688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35019 (or 35009 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 3144839688 is about 56078.8702453963. The cubic root of 3144839688 is about 1465.0962965586.

The spelling of 3144839688 in words is "three billion, one hundred forty-four million, eight hundred thirty-nine thousand, six hundred eighty-eight".