3231106560 has 720 divisors, whose sum is σ = 13159626480. Its totient is φ = 729907200.

The previous prime is 3231106517. The next prime is 3231106561. The reversal of 3231106560 is 656011323.

3231106560 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 1 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3231106561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52968930 + ... + 52968990.

It is an arithmetic number, because the mean of its divisors is an integer number (18277259).

Almost surely, 2^3231106560 is an apocalyptic number.

3231106560 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 3231106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579813240).

3231106560 is an abundant number, since it is smaller than the sum of its proper divisors (9928519920).

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

3231106560 is a wasteful number, since it uses less digits than its factorization.

3231106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3231106560 is about 56842.8232937105. The cubic root of 3231106560 is about 1478.3721083173.

Adding to 3231106560 its reverse (656011323), we get a palindrome (3887117883).

The spelling of 3231106560 in words is "three billion, two hundred thirty-one million, one hundred six thousand, five hundred sixty".