3411343113200 has 240 divisors, whose sum is σ = 9263950819200. Its totient is φ = 1196449612800.

The previous prime is 3411343113137. The next prime is 3411343113209. The reversal of 3411343113200 is 23113431143.

It is a self number, because there is not a number n which added to its sum of digits gives 3411343113200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411343113209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13634831 + ... + 13882769.

It is an arithmetic number, because the mean of its divisors is an integer number (38599795080).

Almost surely, 2^{3411343113200} 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 3411343113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631975409600).

3411343113200 is an abundant number, since it is smaller than the sum of its proper divisors (5852607706000).

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

3411343113200 is a wasteful number, since it uses less digits than its factorization.

3411343113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248080 (or 248069 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 3411343113200 its reverse (23113431143), we get a palindrome (3434456544343).

The spelling of 3411343113200 in words is "three trillion, four hundred eleven billion, three hundred forty-three million, one hundred thirteen thousand, two hundred".