3430540100000 has 576 divisors, whose sum is σ = 9474471532512. Its totient is φ = 1214300160000.

The previous prime is 3430540099999. The next prime is 3430540100017. The reversal of 3430540100000 is 10450343.

3430540100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 48 ways, for example, as 2985389597584 + 445150502416 = 1727828^2 + 667196^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3511299512 + ... + 3511300488.

Almost surely, 2^{3430540100000} 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 3430540100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737235766256).

3430540100000 is an abundant number, since it is smaller than the sum of its proper divisors (6043931432512).

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

3430540100000 is an equidigital number, since it uses as much as digits as its factorization.

3430540100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 3430540100000 its reverse (10450343), we get a palindrome (3430550550343).

The spelling of 3430540100000 in words is "three trillion, four hundred thirty billion, five hundred forty million, one hundred thousand".