3201319368 has 256 divisors, whose sum is σ = 10221120000. Its totient is φ = 919683072.

The previous prime is 3201319357. The next prime is 3201319369. The reversal of 3201319368 is 8639131023.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3201319369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9499296 + ... + 9499632.

It is an arithmetic number, because the mean of its divisors is an integer number (39926250).

Almost surely, 2^3201319368 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 3201319368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560000).

3201319368 is an abundant number, since it is smaller than the sum of its proper divisors (7019800632).

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

3201319368 is a wasteful number, since it uses less digits than its factorization.

3201319368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3201319368 is about 56580.2029688830. The cubic root of 3201319368 is about 1473.8150963483.

The spelling of 3201319368 in words is "three billion, two hundred one million, three hundred nineteen thousand, three hundred sixty-eight".