3413334414000 has 480 divisors, whose sum is σ = 12809693984256. Its totient is φ = 779676710400.

The previous prime is 3413334413941. The next prime is 3413334414023. The reversal of 3413334414000 is 4144333143.

3413334414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 613575219 + ... + 613580781.

Almost surely, 2^{3413334414000} is an apocalyptic number.

3413334414000 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 3413334414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404846992128).

3413334414000 is an abundant number, since it is smaller than the sum of its proper divisors (9396359570256).

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

3413334414000 is a wasteful number, since it uses less digits than its factorization.

3413334414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690 (or 7667 counting only the distinct ones).

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

Adding to 3413334414000 its reverse (4144333143), we get a palindrome (3417478747143).

The spelling of 3413334414000 in words is "three trillion, four hundred thirteen billion, three hundred thirty-four million, four hundred fourteen thousand".