3300003120 has 80 divisors (see below), whose sum is σ = 10242558720. Its totient is φ = 878921472.

The previous prime is 3300003067. The next prime is 3300003139. The reversal of 3300003120 is 213000033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3300003096 and 3300003105.

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, 198157 + ... + 214163.

It is an arithmetic number, because the mean of its divisors is an integer number (128031984).

Almost surely, 2^3300003120 is an apocalyptic number.

3300003120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3300003120 is an abundant number, since it is smaller than the sum of its proper divisors (6942555600).

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

3300003120 is a wasteful number, since it uses less digits than its factorization.

3300003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16882 (or 16876 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3300003120 is about 57445.6536214882. The cubic root of 3300003120 is about 1488.8060221530.

Adding to 3300003120 its reverse (213000033), we get a palindrome (3513003153).

The spelling of 3300003120 in words is "three billion, three hundred million, three thousand, one hundred twenty".