3434003312000 has 128 divisors (see below), whose sum is σ = 8625813094080. Its totient is φ = 1359439872000.

The previous prime is 3434003311901. The next prime is 3434003312011. The reversal of 3434003312000 is 2133004343.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445685 + ... + 2658315.

Almost surely, 2^{3434003312000} 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 3434003312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312906547040).

3434003312000 is an abundant number, since it is smaller than the sum of its proper divisors (5191809782080).

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

3434003312000 is an equidigital number, since it uses as much as digits as its factorization.

3434003312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212757 (or 2212735 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 3434003312000 its reverse (2133004343), we get a palindrome (3436136316343).

The spelling of 3434003312000 in words is "three trillion, four hundred thirty-four billion, three million, three hundred twelve thousand".