3279648 has 48 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 1080576.

The previous prime is 3279641. The next prime is 3279673. The reversal of 3279648 is 8469723.

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

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (3279641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12058 + ... + 12326.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^3279648 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 3279648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

3279648 is an abundant number, since it is smaller than the sum of its proper divisors (5429472).

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

3279648 is a wasteful number, since it uses less digits than its factorization.

3279648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 3279648 is about 1810.9798452771. The cubic root of 3279648 is about 148.5738616113.

The spelling of 3279648 in words is "three million, two hundred seventy-nine thousand, six hundred forty-eight".