3323413120 has 128 divisors (see below), whose sum is σ = 8398353600. Its totient is φ = 1254113280.

The previous prime is 3323413097. The next prime is 3323413189. The reversal of 3323413120 is 213143233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3323413120² = 22090149532376268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3323413091 and 3323413100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4097515 + ... + 4098325.

Almost surely, 2^3323413120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199176800).

3323413120 is an abundant number, since it is smaller than the sum of its proper divisors (5074940480).

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

3323413120 is a wasteful number, since it uses less digits than its factorization.

3323413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3323413120 is about 57649.0513365138. The cubic root of 3323413120 is about 1492.3182266535.

Adding to 3323413120 its reverse (213143233), we get a palindrome (3536556353).

The spelling of 3323413120 in words is "three billion, three hundred twenty-three million, four hundred thirteen thousand, one hundred twenty".