3284640 has 72 divisors (see below), whose sum is σ = 11213748. Its totient is φ = 875520.

The previous prime is 3284639. The next prime is 3284647. The reversal of 3284640 is 464823.

It can be written as a sum of positive squares in 2 ways, for example, as 3283344 + 1296 = 1812^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3284647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300 + ... + 2580.

Almost surely, 2^3284640 is an apocalyptic number.

3284640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606874).

3284640 is an abundant number, since it is smaller than the sum of its proper divisors (7929108).

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

3284640 is a wasteful number, since it uses less digits than its factorization.

3284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2291 counting only the distinct ones).

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

The square root of 3284640 is about 1812.3575806115. The cubic root of 3284640 is about 148.6492055433.

The spelling of 3284640 in words is "three million, two hundred eighty-four thousand, six hundred forty".