3287264 has 24 divisors (see below), whose sum is σ = 6625080. Its totient is φ = 1604736.

The previous prime is 3287261. The next prime is 3287267. The reversal of 3287264 is 4627823.

3287264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3287261) and next prime (3287267).

It is a super-2 number, since 2×3287264² = 21612209211392, which contains 22 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 3⁷ + 2¹³ + 8⁷ + 7² + 2¹⁷ + 6² + 4¹⁰ .

It is a self number, because there is not a number n which added to its sum of digits gives 3287264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3287261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 2570.

It is an arithmetic number, because the mean of its divisors is an integer number (276045).

Almost surely, 2^3287264 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 3287264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312540).

3287264 is an abundant number, since it is smaller than the sum of its proper divisors (3337816).

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

3287264 is a wasteful number, since it uses less digits than its factorization.

3287264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2434 counting only the distinct ones).

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

The square root of 3287264 is about 1813.0813550417. The cubic root of 3287264 is about 148.6887787988.

It can be divided in two parts, 3287 and 264, that multiplied together give a palindrome (867768).

The spelling of 3287264 in words is "three million, two hundred eighty-seven thousand, two hundred sixty-four".