3267864 has 72 divisors (see below), whose sum is σ = 9407580. Its totient is φ = 1062720.

The previous prime is 3267841. The next prime is 3267883. The reversal of 3267864 is 4687623.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3267864 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 (72).

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 3⁷ + 2¹¹ + 6² + 7⁶ + 8⁷ + 6³ + 4¹⁰ .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 79684 + ... + 79724.

Almost surely, 2^3267864 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 3267864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703790).

3267864 is an abundant number, since it is smaller than the sum of its proper divisors (6139716).

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

3267864 is an equidigital number, since it uses as much as digits as its factorization.

3267864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 46 counting only the distinct ones).

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

The square root of 3267864 is about 1807.7234301740. The cubic root of 3267864 is about 148.3957027064.

It can be divided in two parts, 32 and 67864, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 3267864 in words is "three million, two hundred sixty-seven thousand, eight hundred sixty-four".