3168240768 has 576 divisors, whose sum is σ = 12189864960. Its totient is φ = 770457600.

The previous prime is 3168240763. The next prime is 3168240787. The reversal of 3168240768 is 8670428613.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (3168240763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16587553 + ... + 16587743.

It is an arithmetic number, because the mean of its divisors is an integer number (21162960).

Almost surely, 2^3168240768 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 3168240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094932480).

3168240768 is an abundant number, since it is smaller than the sum of its proper divisors (9021624192).

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

3168240768 is a wasteful number, since it uses less digits than its factorization.

3168240768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3168240768 is about 56287.1279068314. The cubic root of 3168240768 is about 1468.7212981311.

The spelling of 3168240768 in words is "three billion, one hundred sixty-eight million, two hundred forty thousand, seven hundred sixty-eight".