3002002030020 has 384 divisors, whose sum is σ = 10076753756160. Its totient is φ = 653302056960.

The previous prime is 3002002029997. The next prime is 3002002030141. The reversal of 3002002030020 is 200302002003.

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 = 3002002029978 and 3002002030005.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 258319810 + ... + 258331430.

It is an arithmetic number, because the mean of its divisors is an integer number (26241546240).

Almost surely, 2^{3002002030020} is an apocalyptic number.

3002002030020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002002030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038376878080).

3002002030020 is an abundant number, since it is smaller than the sum of its proper divisors (7074751726140).

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

3002002030020 is a wasteful number, since it uses less digits than its factorization.

3002002030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11963 (or 11961 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 3002002030020 its reverse (200302002003), we get a palindrome (3202304032023).

The spelling of 3002002030020 in words is "three trillion, two billion, two million, thirty thousand, twenty".