3276800 has 54 divisors (see below), whose sum is σ = 8126433. Its totient is φ = 1310720.

The previous prime is 3276799. The next prime is 3276803. The reversal of 3276800 is 86723.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3276800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3211264 + 65536 = 1792^2 + 256^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1280.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3276800.

It is not an unprimeable number, because it can be changed into a prime (3276803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 655358 + ... + 655362.

Almost surely, 2^3276800 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 3276800

3276800 is an abundant number, since it is smaller than the sum of its proper divisors (4849633).

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

3276800 is an frugal number, since it uses more digits than its factorization.

3276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 3276800 is about 1810.1933598376. The cubic root of 3276800 is about 148.5308426756.

The spelling of 3276800 in words is "three million, two hundred seventy-six thousand, eight hundred".