3208320 has 96 divisors (see below), whose sum is σ = 11098620. Its totient is φ = 854016.

The previous prime is 3208319. The next prime is 3208327. The reversal of 3208320 is 238023.

It can be written as a sum of positive squares in 2 ways, for example, as 2903616 + 304704 = 1704^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 3208293 and 3208302.

It is not an unprimeable number, because it can be changed into a prime (3208327) 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, 5482 + ... + 6038.

Almost surely, 2^3208320 is an apocalyptic number.

3208320 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 3208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549310).

3208320 is an abundant number, since it is smaller than the sum of its proper divisors (7890300).

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

3208320 is a wasteful number, since it uses less digits than its factorization.

3208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3208320 is about 1791.1783830763. The cubic root of 3208320 is about 147.4888625125.

The spelling of 3208320 in words is "three million, two hundred eight thousand, three hundred twenty".