3325828900 has 81 divisors (see below), whose sum is σ = 7411062771. Its totient is φ = 1295498880.

The previous prime is 3325828897. The next prime is 3325828921. The reversal of 3325828900 is 98285233.

The square root of 3325828900 is 57670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18198756 + 3307630144 = 4266^2 + 57512^2 .

It is a super-2 number, since 2×3325828900² = 22122275744150420000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42099061 + ... + 42099139.

Almost surely, 2^3325828900 is an apocalyptic number.

3325828900 is the 57670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3325828900

3325828900 is an abundant number, since it is smaller than the sum of its proper divisors (4085233871).

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

3325828900 is an equidigital number, since it uses as much as digits as its factorization.

3325828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The cubic root of 3325828900 is about 1492.6797264362.

The spelling of 3325828900 in words is "three billion, three hundred twenty-five million, eight hundred twenty-eight thousand, nine hundred".