3267648 has 112 divisors (see below), whose sum is σ = 10078720. Its totient is φ = 1036800.

The previous prime is 3267647. The next prime is 3267697. The reversal of 3267648 is 8467623.

3267648 is a `hidden beast` number, since 3 + 2 + 6 + 7 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3¹⁰ + 2⁷ + 6⁵ + 7⁷ + 6⁷ + 4³ + 8⁷ .

It is not an unprimeable number, because it can be changed into a prime (3267643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53538 + ... + 53598.

Almost surely, 2^3267648 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 3267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039360).

3267648 is an abundant number, since it is smaller than the sum of its proper divisors (6811072).

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

3267648 is a wasteful number, since it uses less digits than its factorization.

3267648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3267648 is about 1807.6636855345. The cubic root of 3267648 is about 148.3924330703.

The spelling of 3267648 in words is "three million, two hundred sixty-seven thousand, six hundred forty-eight".