3147648 has 64 divisors (see below), whose sum is σ = 9563520. Its totient is φ = 898560.

The previous prime is 3147629. The next prime is 3147649. The reversal of 3147648 is 8467413.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3147649) 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, 2103 + ... + 3273.

It is an arithmetic number, because the mean of its divisors is an integer number (149430).

Almost surely, 2^3147648 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 3147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781760).

3147648 is an abundant number, since it is smaller than the sum of its proper divisors (6415872).

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

3147648 is a wasteful number, since it uses less digits than its factorization.

3147648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1183 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 3147648 is about 1774.1612102625. The cubic root of 3147648 is about 146.5532272507.

The spelling of 3147648 in words is "three million, one hundred forty-seven thousand, six hundred forty-eight".