3105768960 has 640 divisors, whose sum is σ = 12963456000. Its totient is φ = 704471040.

The previous prime is 3105768929. The next prime is 3105768961. The reversal of 3105768960 is 698675013.

It is a happy number.

3105768960 is a `hidden beast` number, since 3 + 10 + 576 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105768961) 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, 23708095 + ... + 23708225.

It is an arithmetic number, because the mean of its divisors is an integer number (20255400).

Almost surely, 2^3105768960 is an apocalyptic number.

3105768960 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 3105768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481728000).

3105768960 is an abundant number, since it is smaller than the sum of its proper divisors (9857687040).

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

3105768960 is an equidigital number, since it uses as much as digits as its factorization.

3105768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3105768960 is about 55729.4263383358. The cubic root of 3105768960 is about 1459.0036612565.

The spelling of 3105768960 in words is "three billion, one hundred five million, seven hundred sixty-eight thousand, nine hundred sixty".