3608320 has 36 divisors (see below), whose sum is σ = 8646120. Its totient is φ = 1442816.

The previous prime is 3608299. The next prime is 3608323. The reversal of 3608320 is 238063.

It is a super-3 number, since 3×3608320³ (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3608291 and 3608300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3608323) 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, 130 + ... + 2689.

It is an arithmetic number, because the mean of its divisors is an integer number (240170).

Almost surely, 2^3608320 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 3608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323060).

3608320 is an abundant number, since it is smaller than the sum of its proper divisors (5037800).

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

3608320 is an equidigital number, since it uses as much as digits as its factorization.

3608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3608320 is about 1899.5578432888. The cubic root of 3608320 is about 153.3798640552.

The spelling of 3608320 in words is "three million, six hundred eight thousand, three hundred twenty".