3191952960 has 448 divisors, whose sum is σ = 13035686400. Its totient is φ = 720175104.

The previous prime is 3191952901. The next prime is 3191952961. The reversal of 3191952960 is 692591913.

It is a happy number.

3191952960 is a `hidden beast` number, since 31 + 91 + 9 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3191952961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5382424 + ... + 5383016.

Almost surely, 2^3191952960 is an apocalyptic number.

3191952960 is a gapful number since it is divisible by the number (30) 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 3191952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517843200).

3191952960 is an abundant number, since it is smaller than the sum of its proper divisors (9843733440).

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

3191952960 is a wasteful number, since it uses less digits than its factorization.

3191952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 3191952960 is about 56497.3712662811. The cubic root of 3191952960 is about 1472.3763313939.

The spelling of 3191952960 in words is "three billion, one hundred ninety-one million, nine hundred fifty-two thousand, nine hundred sixty".