3441134033130 has 64 divisors (see below), whose sum is σ = 8397756259200. Its totient is φ = 902200523520.

The previous prime is 3441134033111. The next prime is 3441134033143. The reversal of 3441134033130 is 313304311443.

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 31 ways as a sum of consecutive naturals, for example, 3818281 + ... + 4632659.

It is an arithmetic number, because the mean of its divisors is an integer number (131214941550).

Almost surely, 2^{3441134033130} is an apocalyptic number.

3441134033130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441134033130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198878129600).

3441134033130 is an abundant number, since it is smaller than the sum of its proper divisors (4956622226070).

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

3441134033130 is a wasteful number, since it uses less digits than its factorization.

3441134033130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816759.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 3441134033130 its reverse (313304311443), we get a palindrome (3754438344573).

The spelling of 3441134033130 in words is "three trillion, four hundred forty-one billion, one hundred thirty-four million, thirty-three thousand, one hundred thirty".