3434002000000 has 448 divisors, whose sum is σ = 10047190144320. Its totient is φ = 1152576000000.

The previous prime is 3434001999997. The next prime is 3434002000043. The reversal of 3434002000000 is 2004343.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 285993997 + ... + 286006003.

It is an arithmetic number, because the mean of its divisors is an integer number (22426763715).

Almost surely, 2^{3434002000000} 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 3434002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023595072160).

3434002000000 is an abundant number, since it is smaller than the sum of its proper divisors (6613188144320).

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

3434002000000 is an equidigital number, since it uses as much as digits as its factorization.

3434002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12075 (or 12038 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 3434002000000 its reverse (2004343), we get a palindrome (3434004004343).

The spelling of 3434002000000 in words is "three trillion, four hundred thirty-four billion, two million", and thus it is an aban number.