3195204768 has 144 divisors (see below), whose sum is σ = 10931094720. Its totient is φ = 864857088.

The previous prime is 3195204763. The next prime is 3195204809. The reversal of 3195204768 is 8674025913.

3195204768 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×3195204768³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

3195204768 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (3195204763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3405 + ... + 80012.

It is an arithmetic number, because the mean of its divisors is an integer number (75910380).

It is a 1-persistent number, because it is pandigital, but 2⋅3195204768 = 6390409536 is not.

Almost surely, 2^3195204768 is an apocalyptic number.

3195204768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3195204768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465547360).

3195204768 is an abundant number, since it is smaller than the sum of its proper divisors (7735889952).

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

3195204768 is a wasteful number, since it uses less digits than its factorization.

3195204768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83459 (or 83448 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3195204768 is about 56526.1423413981. The cubic root of 3195204768 is about 1472.8761570727.

The spelling of 3195204768 in words is "three billion, one hundred ninety-five million, two hundred four thousand, seven hundred sixty-eight".