3323753104 has 135 divisors (see below), whose sum is σ = 7869198441. Its totient is φ = 1355975040.

The previous prime is 3323753089. The next prime is 3323753117. The reversal of 3323753104 is 4013573233.

The square root of 3323753104 is 57652.

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., 1742895504 + 1580857600 = 41748^2 + 39760^2 .

It is a super-2 number, since 2×3323753104² = 22094669392699269632, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 46813389 + ... + 46813459.

Almost surely, 2^3323753104 is an apocalyptic number.

3323753104 is the 57652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323753104

3323753104 is an abundant number, since it is smaller than the sum of its proper divisors (4545445337).

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

3323753104 is an equidigital number, since it uses as much as digits as its factorization.

3323753104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 31.

The cubic root of 3323753104 is about 1492.3691127959.

The spelling of 3323753104 in words is "three billion, three hundred twenty-three million, seven hundred fifty-three thousand, one hundred four".