3441105200 has 240 divisors, whose sum is σ = 9703024800. Its totient is φ = 1161216000.

The previous prime is 3441105197. The next prime is 3441105209. The reversal of 3441105200 is 25011443.

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

It is not an unprimeable number, because it can be changed into a prime (3441105209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2864600 + ... + 2865800.

It is an arithmetic number, because the mean of its divisors is an integer number (40429270).

Almost surely, 2^3441105200 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 3441105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851512400).

3441105200 is an abundant number, since it is smaller than the sum of its proper divisors (6261919600).

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

3441105200 is a wasteful number, since it uses less digits than its factorization.

3441105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3441105200 is about 58660.9341896291. The cubic root of 3441105200 is about 1509.7301097980.

Adding to 3441105200 its reverse (25011443), we get a palindrome (3466116643).

The spelling of 3441105200 in words is "three billion, four hundred forty-one million, one hundred five thousand, two hundred".