3189860960 has 384 divisors, whose sum is σ = 9601804800. Its totient is φ = 983531520.

The previous prime is 3189860951. The next prime is 3189860963. The reversal of 3189860960 is 690689813.

It is a junction number, because it is equal to n+sod(n) for n = 3189860899 and 3189860908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3189860963) 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, 22948571 + ... + 22948709.

It is an arithmetic number, because the mean of its divisors is an integer number (25004700).

Almost surely, 2^3189860960 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 3189860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800902400).

3189860960 is an abundant number, since it is smaller than the sum of its proper divisors (6411943840).

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

3189860960 is a wasteful number, since it uses less digits than its factorization.

3189860960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The square root of 3189860960 is about 56478.8540960243. The cubic root of 3189860960 is about 1472.0545968644.

The spelling of 3189860960 in words is "three billion, one hundred eighty-nine million, eight hundred sixty thousand, nine hundred sixty".