3014331340020 has 384 divisors, whose sum is σ = 11369181745152. Its totient is φ = 576286617600.

The previous prime is 3014331340003. The next prime is 3014331340039. The reversal of 3014331340020 is 200431334103.

3014331340020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 18356680 + ... + 18520160.

It is an arithmetic number, because the mean of its divisors is an integer number (29607244128).

Almost surely, 2^{3014331340020} is an apocalyptic number.

3014331340020 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 3014331340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5684590872576).

3014331340020 is an abundant number, since it is smaller than the sum of its proper divisors (8354850405132).

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

3014331340020 is a wasteful number, since it uses less digits than its factorization.

3014331340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163831 (or 163829 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 3014331340020 its reverse (200431334103), we get a palindrome (3214762674123).

The spelling of 3014331340020 in words is "three trillion, fourteen billion, three hundred thirty-one million, three hundred forty thousand, twenty".