3343540130000 has 400 divisors, whose sum is σ = 9672623769600. Its totient is φ = 1094368704000.

The previous prime is 3343540129999. The next prime is 3343540130003. The reversal of 3343540130000 is 310453433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×3343540130000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343540130003) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 964388267 + ... + 964391733.

It is an arithmetic number, because the mean of its divisors is an integer number (24181559424).

Almost surely, 2^{3343540130000} 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 3343540130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836311884800).

3343540130000 is an abundant number, since it is smaller than the sum of its proper divisors (6329083639600).

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

3343540130000 is a wasteful number, since it uses less digits than its factorization.

3343540130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 3343540130000 its reverse (310453433), we get a palindrome (3343850583433).

The spelling of 3343540130000 in words is "three trillion, three hundred forty-three billion, five hundred forty million, one hundred thirty thousand".