3205167768 has 96 divisors (see below), whose sum is σ = 9603360000. Its totient is φ = 957566400.

The previous prime is 3205167767. The next prime is 3205167787. The reversal of 3205167768 is 8677615023.

3205167768 is a `hidden beast` number, since 3 + 2 + 0 + 516 + 77 + 68 = 666.

It is a super-2 number, since 2×3205167768² = 20546200842052203648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205167767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27733 + ... + 84731.

It is an arithmetic number, because the mean of its divisors is an integer number (100035000).

Almost surely, 2^3205167768 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 3205167768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801680000).

3205167768 is an abundant number, since it is smaller than the sum of its proper divisors (6398192232).

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

3205167768 is a wasteful number, since it uses less digits than its factorization.

3205167768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57093 (or 57086 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3205167768 is about 56614.2011159744. The cubic root of 3205167768 is about 1474.4054319906.

The spelling of 3205167768 in words is "three billion, two hundred five million, one hundred sixty-seven thousand, seven hundred sixty-eight".