3200828417 has 16 divisors (see below), whose sum is σ = 3333804480. Its totient is φ = 3071140800.

The previous prime is 3200828387. The next prime is 3200828429. The reversal of 3200828417 is 7148280023.

It is a cyclic number.

It is not a de Polignac number, because 3200828417 - 2¹⁰ = 3200827393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3200828437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575942 + ... + 581472.

It is an arithmetic number, because the mean of its divisors is an integer number (208362780).

Almost surely, 2^3200828417 is an apocalyptic number.

It is an amenable number.

3200828417 is a deficient number, since it is larger than the sum of its proper divisors (132976063).

3200828417 is a wasteful number, since it uses less digits than its factorization.

3200828417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824.

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 3200828417 is about 56575.8642620685. The cubic root of 3200828417 is about 1473.7397515811.

The spelling of 3200828417 in words is "three billion, two hundred million, eight hundred twenty-eight thousand, four hundred seventeen".