3208000 has 56 divisors (see below), whose sum is σ = 7964424. Its totient is φ = 1280000.

The previous prime is 3207991. The next prime is 3208001. The reversal of 3208000 is 8023.

It can be written as a sum of positive squares in 4 ways, for example, as 53824 + 3154176 = 232^2 + 1776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3208001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7800 + ... + 8200.

Almost surely, 2^3208000 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 3208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982212).

3208000 is an abundant number, since it is smaller than the sum of its proper divisors (4756424).

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

3208000 is an equidigital number, since it uses as much as digits as its factorization.

3208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3208000 is about 1791.0890541790. The cubic root of 3208000 is about 147.4839588033.

It can be divided in two parts, 320 and 8000, that multiplied together give a 4-th power (2560000 = 40⁴).

The spelling of 3208000 in words is "three million, two hundred eight thousand".