3320414243020 has 144 divisors (see below), whose sum is σ = 8266544512128. Its totient is φ = 1116650196480.

The previous prime is 3320414243017. The next prime is 3320414243039. The reversal of 3320414243020 is 203424140233.

It is a super-3 number, since 3×3320414243020³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3320414243020.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289455885 + ... + 289467355.

It is an arithmetic number, because the mean of its divisors is an integer number (57406559112).

Almost surely, 2^{3320414243020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320414243020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133272256064).

3320414243020 is an abundant number, since it is smaller than the sum of its proper divisors (4946130269108).

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

3320414243020 is a wasteful number, since it uses less digits than its factorization.

3320414243020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17120 (or 17111 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 3320414243020 its reverse (203424140233), we get a palindrome (3523838383253).

The spelling of 3320414243020 in words is "three trillion, three hundred twenty billion, four hundred fourteen million, two hundred forty-three thousand, twenty".