3105920 has 64 divisors (see below), whose sum is σ = 7784640. Its totient is φ = 1182720.

The previous prime is 3105913. The next prime is 3105923. The reversal of 3105920 is 295013.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3105892 and 3105901.

It is not an unprimeable number, because it can be changed into a prime (3105923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14615 + ... + 14825.

It is an arithmetic number, because the mean of its divisors is an integer number (121635).

Almost surely, 2^3105920 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 3105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892320).

3105920 is an abundant number, since it is smaller than the sum of its proper divisors (4678720).

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

3105920 is a wasteful number, since it uses less digits than its factorization.

3105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 3105920 is about 1762.3620513391. The cubic root of 3105920 is about 145.9027312333.

The spelling of 3105920 in words is "three million, one hundred five thousand, nine hundred twenty".