3141172960 has 96 divisors (see below), whose sum is σ = 8111238912. Its totient is φ = 1144381440.

The previous prime is 3141172913. The next prime is 3141172963. The reversal of 3141172960 is 692711413.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141172963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65694 + ... + 102946.

It is an arithmetic number, because the mean of its divisors is an integer number (84492072).

Almost surely, 2^3141172960 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 3141172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055619456).

3141172960 is an abundant number, since it is smaller than the sum of its proper divisors (4970065952).

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

3141172960 is a wasteful number, since it uses less digits than its factorization.

3141172960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37316 (or 37308 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 3141172960 is about 56046.1681116559. The cubic root of 3141172960 is about 1464.5266651018.

The spelling of 3141172960 in words is "three billion, one hundred forty-one million, one hundred seventy-two thousand, nine hundred sixty".