3413413344000 has 576 divisors, whose sum is σ = 12670175831040. Its totient is φ = 807301120000.

The previous prime is 3413413343941. The next prime is 3413413344149. The reversal of 3413413344000 is 4433143143.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 43256581 + ... + 43335419.

It is an arithmetic number, because the mean of its divisors is an integer number (21996833040).

Almost surely, 2^{3413413344000} is an apocalyptic number.

3413413344000 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 3413413344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335087915520).

3413413344000 is an abundant number, since it is smaller than the sum of its proper divisors (9256762487040).

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

3413413344000 is a wasteful number, since it uses less digits than its factorization.

3413413344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78925 (or 78901 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 3413413344000 its reverse (4433143143), we get a palindrome (3417846487143).

The spelling of 3413413344000 in words is "three trillion, four hundred thirteen billion, four hundred thirteen million, three hundred forty-four thousand".