3209685768 has 96 divisors (see below), whose sum is σ = 9020607960. Its totient is φ = 1030164480.

The previous prime is 3209685757. The next prime is 3209685803. The reversal of 3209685768 is 8675869023.

It is a happy number.

3209685768 is a `hidden beast` number, since 3 + 2 + 0 + 9 + 68 + 576 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3169464804 + 40220964 = 56298^2 + 6342^2 .

It is an unprimeable number.

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, 252198 + ... + 264618.

Almost surely, 2^3209685768 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 3209685768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510303980).

3209685768 is an abundant number, since it is smaller than the sum of its proper divisors (5810922192).

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

3209685768 is a wasteful number, since it uses less digits than its factorization.

3209685768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12567 (or 12560 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 3209685768 is about 56654.0887138784. The cubic root of 3209685768 is about 1475.0978800123.

The spelling of 3209685768 in words is "three billion, two hundred nine million, six hundred eighty-five thousand, seven hundred sixty-eight".