3135648 has 48 divisors (see below), whose sum is σ = 8346240. Its totient is φ = 1030656.

The previous prime is 3135641. The next prime is 3135661. The reversal of 3135648 is 8465313.

3135648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3135641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8361 + ... + 8727.

It is an arithmetic number, because the mean of its divisors is an integer number (173880).

Almost surely, 2^3135648 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 3135648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173120).

3135648 is an abundant number, since it is smaller than the sum of its proper divisors (5210592).

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

3135648 is a wasteful number, since it uses less digits than its factorization.

3135648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 3135648 is about 1770.7761010359. The cubic root of 3135648 is about 146.3667516841.

The spelling of 3135648 in words is "three million, one hundred thirty-five thousand, six hundred forty-eight".