3272864 has 48 divisors (see below), whose sum is σ = 7761600. Its totient is φ = 1327104.

The previous prime is 3272861. The next prime is 3272869. The reversal of 3272864 is 4682723.

3272864 = T₁₅₂ + T₁₅₃ + ... + T₂₈₄.

It is a super-3 number, since 3×3272864³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3⁸ + 2⁷ + 7⁷ + 2²¹ + 8 + 6⁷ + 4⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3272864.

It is not an unprimeable number, because it can be changed into a prime (3272861) 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, 3872 + ... + 4640.

It is an arithmetic number, because the mean of its divisors is an integer number (161700).

Almost surely, 2^3272864 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 3272864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880800).

3272864 is an abundant number, since it is smaller than the sum of its proper divisors (4488736).

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

3272864 is a wasteful number, since it uses less digits than its factorization.

3272864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 3272864 is about 1809.1058564938. The cubic root of 3272864 is about 148.4713484914.

The spelling of 3272864 in words is "three million, two hundred seventy-two thousand, eight hundred sixty-four".