3332002120 has 32 divisors (see below), whose sum is σ = 7571241720. Its totient is φ = 1319603200.

The previous prime is 3332002087. The next prime is 3332002133. The reversal of 3332002120 is 212002333.

It can be written as a sum of positive squares in 4 ways, for example, as 3196093156 + 135908964 = 56534^2 + 11658^2 .

It is a super-2 number, since 2×3332002120² = 22204476255368988800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3332002094 and 3332002103.

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 7 ways as a sum of consecutive naturals, for example, 408337 + ... + 416416.

Almost surely, 2^3332002120 is an apocalyptic number.

It is an amenable number.

3332002120 is an abundant number, since it is smaller than the sum of its proper divisors (4239239600).

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

3332002120 is a wasteful number, since it uses less digits than its factorization.

3332002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824865 (or 824861 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3332002120 is about 57723.4971220559. The cubic root of 3332002120 is about 1493.6026988494.

Adding to 3332002120 its reverse (212002333), we get a palindrome (3544004453).

The spelling of 3332002120 in words is "three billion, three hundred thirty-two million, two thousand, one hundred twenty".