3320064400 has 135 divisors (see below), whose sum is σ = 8289971361. Its totient is φ = 1277781120.

The previous prime is 3320064337. The next prime is 3320064403. The reversal of 3320064400 is 44600233.

The square root of 3320064400 is 57620.

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., 1195223184 + 2124841216 = 34572^2 + 46096^2 .

It is a super-2 number, since 2×3320064400² = 22045655240294720000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3320064403) 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, 49553167 + ... + 49553233.

Almost surely, 2^3320064400 is an apocalyptic number.

3320064400 is the 57620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320064400

3320064400 is an abundant number, since it is smaller than the sum of its proper divisors (4969906961).

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

3320064400 is an equidigital number, since it uses as much as digits as its factorization.

3320064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The cubic root of 3320064400 is about 1491.8168309375.

Adding to 3320064400 its reverse (44600233), we get a palindrome (3364664633).

The spelling of 3320064400 in words is "three billion, three hundred twenty million, sixty-four thousand, four hundred".