3189792960 has 672 divisors, whose sum is σ = 12781117440. Its totient is φ = 752467968.

The previous prime is 3189792953. The next prime is 3189792961. The reversal of 3189792960 is 692979813.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3189792897 and 3189792906.

It is not an unprimeable number, because it can be changed into a prime (3189792961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25116417 + ... + 25116543.

It is an arithmetic number, because the mean of its divisors is an integer number (19019520).

Almost surely, 2^3189792960 is an apocalyptic number.

3189792960 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 3189792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390558720).

3189792960 is an abundant number, since it is smaller than the sum of its proper divisors (9591324480).

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

3189792960 is a wasteful number, since it uses less digits than its factorization.

3189792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 3189792960 is about 56478.2520975995. The cubic root of 3189792960 is about 1472.0441365940.

The spelling of 3189792960 in words is "three billion, one hundred eighty-nine million, seven hundred ninety-two thousand, nine hundred sixty".