3326982400 has 243 divisors, whose sum is σ = 9673164081. Its totient is φ = 1129605120.

The previous prime is 3326982383. The next prime is 3326982401. The reversal of 3326982400 is 42896233.

The square root of 3326982400 is 57680.

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

It can be written as a sum of positive squares in only one way, i.e., 1197713664 + 2129268736 = 34608^2 + 46144^2 .

It is a super-2 number, since 2×3326982400² = 22137623779819520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3326982400.

It is not an unprimeable number, because it can be changed into a prime (3326982401) 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 26 ways as a sum of consecutive naturals, for example, 32300749 + ... + 32300851.

Almost surely, 2^3326982400 is an apocalyptic number.

3326982400 is the 57680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3326982400

3326982400 is an abundant number, since it is smaller than the sum of its proper divisors (6346181681).

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

3326982400 is an equidigital number, since it uses as much as digits as its factorization.

3326982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The cubic root of 3326982400 is about 1492.8522756058.

The spelling of 3326982400 in words is "three billion, three hundred twenty-six million, nine hundred eighty-two thousand, four hundred".