3280000 has 80 divisors (see below), whose sum is σ = 8364510. Its totient is φ = 1280000.

The previous prime is 3279977. The next prime is 3280003. The reversal of 3280000 is 823.

3280000 = T₁₄ + T₁₅ + ... + T₂₆₉.

It can be written as a sum of positive squares in 5 ways, for example, as 97344 + 3182656 = 312^2 + 1784^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3280003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79980 + ... + 80020.

Almost surely, 2^3280000 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 3280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182255).

3280000 is an abundant number, since it is smaller than the sum of its proper divisors (5084510).

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

3280000 is an frugal number, since it uses more digits than its factorization.

3280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

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

The square root of 3280000 is about 1811.0770276275. The cubic root of 3280000 is about 148.5791768289.

Adding to 3280000 its reverse (823), we get a palindrome (3280823).

It can be divided in two parts, 32 and 80000, that multiplied together give a 4-th power (2560000 = 40⁴).

The spelling of 3280000 in words is "three million, two hundred eighty thousand".