3105648 has 160 divisors (see below), whose sum is σ = 11110400. Its totient is φ = 808704.

The previous prime is 3105643. The next prime is 3105659. The reversal of 3105648 is 8465013.

3105648 is a `hidden beast` number, since 3 + 10 + 5 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39273 + ... + 39351.

It is an arithmetic number, because the mean of its divisors is an integer number (69440).

Almost surely, 2^3105648 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 3105648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555200).

3105648 is an abundant number, since it is smaller than the sum of its proper divisors (8004752).

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

3105648 is a wasteful number, since it uses less digits than its factorization.

3105648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3105648 is about 1762.2848804890. The cubic root of 3105648 is about 145.8984719799.

The spelling of 3105648 in words is "three million, one hundred five thousand, six hundred forty-eight".