3000330301020 has 192 divisors, whose sum is σ = 9342017556480. Its totient is φ = 714487449600.

The previous prime is 3000330301013. The next prime is 3000330301061. The reversal of 3000330301020 is 201030330003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81492376 + ... + 81529184.

It is an arithmetic number, because the mean of its divisors is an integer number (48656341440).

Almost surely, 2^{3000330301020} is an apocalyptic number.

3000330301020 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 3000330301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671008778240).

3000330301020 is an abundant number, since it is smaller than the sum of its proper divisors (6341687255460).

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

3000330301020 is a wasteful number, since it uses less digits than its factorization.

3000330301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40236 (or 40234 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 3000330301020 its reverse (201030330003), we get a palindrome (3201360631023).

The spelling of 3000330301020 in words is "three trillion, three hundred thirty million, three hundred one thousand, twenty".