3243840 has 112 divisors (see below), whose sum is σ = 10728960. Its totient is φ = 829440.

The previous prime is 3243839. The next prime is 3243841. The reversal of 3243840 is 483423.

3243840 is digitally balanced in base 2, 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 (3243839) and next prime (3243841).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3243840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29706 + ... + 29814.

Almost surely, 2^3243840 is an apocalyptic number.

3243840 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 3243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364480).

3243840 is an abundant number, since it is smaller than the sum of its proper divisors (7485120).

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

3243840 is a wasteful number, since it uses less digits than its factorization.

3243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3243840 is about 1801.0663508044. The cubic root of 3243840 is about 148.0311597406.

The spelling of 3243840 in words is "three million, two hundred forty-three thousand, eight hundred forty".