3002330311020 has 288 divisors, whose sum is σ = 9658627218240. Its totient is φ = 753878845440.

The previous prime is 3002330311007. The next prime is 3002330311027. The reversal of 3002330311020 is 201130332003.

3002330311020 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 330 + 311 + 0 + 20 = 666.

3002330311020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3002330310984 and 3002330311002.

It is not an unprimeable number, because it can be changed into a prime (3002330311027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31167330 + ... + 31263510.

Almost surely, 2^{3002330311020} is an apocalyptic number.

3002330311020 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 3002330311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829313609120).

3002330311020 is an abundant number, since it is smaller than the sum of its proper divisors (6656296907220).

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

3002330311020 is a wasteful number, since it uses less digits than its factorization.

3002330311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96385 (or 96380 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3002330311020 its reverse (201130332003), we get a palindrome (3203460643023).

The spelling of 3002330311020 in words is "three trillion, two billion, three hundred thirty million, three hundred eleven thousand, twenty".