3330321120 has 144 divisors (see below), whose sum is σ = 12988291680. Its totient is φ = 761213952.

The previous prime is 3330321119. The next prime is 3330321143. The reversal of 3330321120 is 211230333.

3330321120 is a `hidden beast` number, since 3 + 330 + 321 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3330321120² = 22182077524636108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3330321093 and 3330321102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155115 + ... + 175274.

It is an arithmetic number, because the mean of its divisors is an integer number (90196470).

Almost surely, 2^3330321120 is an apocalyptic number.

3330321120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3330321120 is an abundant number, since it is smaller than the sum of its proper divisors (9657970560).

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

3330321120 is a wasteful number, since it uses less digits than its factorization.

3330321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330417 (or 330406 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3330321120 is about 57708.9344902503. The cubic root of 3330321120 is about 1493.3514816743.

Adding to 3330321120 its reverse (211230333), we get a palindrome (3541551453).

The spelling of 3330321120 in words is "three billion, three hundred thirty million, three hundred twenty-one thousand, one hundred twenty".