3412204021314 has 144 divisors (see below), whose sum is σ = 8321674233600. Its totient is φ = 1009437137280.

The previous prime is 3412204021267. The next prime is 3412204021349. The reversal of 3412204021314 is 4131204022143.

3412204021314 is a `hidden beast` number, since 3 + 4 + 1 + 220 + 402 + 1 + 31 + 4 = 666.

3412204021314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15202107 + ... + 15424929.

It is an arithmetic number, because the mean of its divisors is an integer number (57789404400).

Almost surely, 2^{3412204021314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412204021314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160837116800).

3412204021314 is an abundant number, since it is smaller than the sum of its proper divisors (4909470212286).

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

3412204021314 is a wasteful number, since it uses less digits than its factorization.

3412204021314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223021 (or 223007 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3412204021314 its reverse (4131204022143), we get a palindrome (7543408043457).

The spelling of 3412204021314 in words is "three trillion, four hundred twelve billion, two hundred four million, twenty-one thousand, three hundred fourteen".