3412439380896 has 384 divisors, whose sum is σ = 11776683695616. Its totient is φ = 839543685120.

The previous prime is 3412439380877. The next prime is 3412439380919. The reversal of 3412439380896 is 6980839342143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16680186 + ... + 16883526.

It is an arithmetic number, because the mean of its divisors is an integer number (30668447124).

Almost surely, 2^{3412439380896} 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 3412439380896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888341847808).

3412439380896 is an abundant number, since it is smaller than the sum of its proper divisors (8364244314720).

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

3412439380896 is a wasteful number, since it uses less digits than its factorization.

3412439380896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203504 (or 203496 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 3412439380896 in words is "three trillion, four hundred twelve billion, four hundred thirty-nine million, three hundred eighty thousand, eight hundred ninety-six".