3240864 has 144 divisors (see below), whose sum is σ = 10725120. Its totient is φ = 950400.

The previous prime is 3240851. The next prime is 3240877. The reversal of 3240864 is 4680423.

3240864 = T₂₇ + T₂₈ + ... + T₂₆₈.

It is an interprime number because it is at equal distance from previous prime (3240851) and next prime (3240877).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104529 + ... + 104559.

It is an arithmetic number, because the mean of its divisors is an integer number (74480).

Almost surely, 2^3240864 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 3240864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362560).

3240864 is an abundant number, since it is smaller than the sum of its proper divisors (7484256).

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

3240864 is a wasteful number, since it uses less digits than its factorization.

3240864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3240864 is about 1800.2399840021. The cubic root of 3240864 is about 147.9858764219.

The spelling of 3240864 in words is "three million, two hundred forty thousand, eight hundred sixty-four".