3170928672 has 288 divisors, whose sum is σ = 10317041280. Its totient is φ = 917790720.

The previous prime is 3170928671. The next prime is 3170928703. The reversal of 3170928672 is 2768290713.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3170928671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3265147 + ... + 3266117.

It is an arithmetic number, because the mean of its divisors is an integer number (35823060).

Almost surely, 2^3170928672 is an apocalyptic number.

3170928672 is a gapful number since it is divisible by the number (32) 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 3170928672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158520640).

3170928672 is an abundant number, since it is smaller than the sum of its proper divisors (7146112608).

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

3170928672 is a wasteful number, since it uses less digits than its factorization.

3170928672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 3170928672 is about 56310.9995649163. Note that the first 3 decimals coincide. The cubic root of 3170928672 is about 1469.1365302476.

The spelling of 3170928672 in words is "three billion, one hundred seventy million, nine hundred twenty-eight thousand, six hundred seventy-two".