3413003020002 has 24 divisors (see below), whose sum is σ = 7463950533936. Its totient is φ = 1127035264536.

The previous prime is 3413003019953. The next prime is 3413003020073. The reversal of 3413003020002 is 2000203003143.

3413003020002 is a `hidden beast` number, since 341 + 300 + 3 + 0 + 20 + 0 + 0 + 2 = 666.

3413003020002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3413003020002² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 886032088 + ... + 886035939.

It is an arithmetic number, because the mean of its divisors is an integer number (310997938914).

Almost surely, 2^{3413003020002} is an apocalyptic number.

3413003020002 is an abundant number, since it is smaller than the sum of its proper divisors (4050947513934).

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

3413003020002 is a wasteful number, since it uses less digits than its factorization.

3413003020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772068142 (or 1772068139 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3413003020002 its reverse (2000203003143), we get a palindrome (5413206023145).

The spelling of 3413003020002 in words is "three trillion, four hundred thirteen billion, three million, twenty thousand, two".