3340311312420 has 288 divisors, whose sum is σ = 10834676536320. Its totient is φ = 831536640000.

The previous prime is 3340311312391. The next prime is 3340311312493. The reversal of 3340311312420 is 242131130433.

It is a happy number.

3340311312420 is a `hidden beast` number, since 3 + 3 + 403 + 1 + 13 + 1 + 242 + 0 = 666.

It is a super-2 number, since 2×3340311312420² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20279395 + ... + 20443445.

It is an arithmetic number, because the mean of its divisors is an integer number (37620404640).

Almost surely, 2^{3340311312420} is an apocalyptic number.

3340311312420 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 3340311312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417338268160).

3340311312420 is an abundant number, since it is smaller than the sum of its proper divisors (7494365223900).

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

3340311312420 is a wasteful number, since it uses less digits than its factorization.

3340311312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164227 (or 164222 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3340311312420 its reverse (242131130433), we get a palindrome (3582442442853).

The spelling of 3340311312420 in words is "three trillion, three hundred forty billion, three hundred eleven million, three hundred twelve thousand, four hundred twenty".