3330413120 has 112 divisors (see below), whose sum is σ = 8103412800. Its totient is φ = 1303357440.

The previous prime is 3330413113. The next prime is 3330413143. The reversal of 3330413120 is 213140333.

It is a super-2 number, since 2×3330413120² = 22183303099736268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3330413092 and 3330413101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7910510 + ... + 7910930.

It is an arithmetic number, because the mean of its divisors is an integer number (72351900).

Almost surely, 2^3330413120 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 3330413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051706400).

3330413120 is an abundant number, since it is smaller than the sum of its proper divisors (4772999680).

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

3330413120 is a wasteful number, since it uses less digits than its factorization.

3330413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3330413120 is about 57709.7315883552. The cubic root of 3330413120 is about 1493.3652328078.

Adding to 3330413120 its reverse (213140333), we get a palindrome (3543553453).

The spelling of 3330413120 in words is "three billion, three hundred thirty million, four hundred thirteen thousand, one hundred twenty".