3424320 has 168 divisors, whose sum is σ = 12481560. Its totient is φ = 860160.

The previous prime is 3424307. The next prime is 3424363. The reversal of 3424320 is 234243.

3424320 is a `hidden beast` number, since 342 + 4 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 3415104 = 96^2 + 1848^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3424293 and 3424302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83500 + ... + 83540.

It is an arithmetic number, because the mean of its divisors is an integer number (74295).

Almost surely, 2^3424320 is an apocalyptic number.

3424320 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 3424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240780).

3424320 is an abundant number, since it is smaller than the sum of its proper divisors (9057240).

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

3424320 is a wasteful number, since it uses less digits than its factorization.

3424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3424320 is about 1850.4918265153. The cubic root of 3424320 is about 150.7271361247.

Adding to 3424320 its reverse (234243), we get a palindrome (3658563).

The spelling of 3424320 in words is "three million, four hundred twenty-four thousand, three hundred twenty".