3441121200 has 360 divisors, whose sum is σ = 13159626480. Its totient is φ = 825753600.

The previous prime is 3441121169. The next prime is 3441121219. The reversal of 3441121200 is 21211443.

3441121200 is a `hidden beast` number, since 3 + 441 + 1 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3441121200² = 23682630226178880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4474416 + ... + 4475184.

It is an arithmetic number, because the mean of its divisors is an integer number (36554518).

Almost surely, 2^3441121200 is an apocalyptic number.

3441121200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579813240).

3441121200 is an abundant number, since it is smaller than the sum of its proper divisors (9718505280).

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

3441121200 is a wasteful number, since it uses less digits than its factorization.

3441121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3441121200 is about 58661.0705664327. The cubic root of 3441121200 is about 1509.7324497094.

Adding to 3441121200 its reverse (21211443), we get a palindrome (3462332643).

It can be divided in two parts, 34411 and 21200, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 3441121200 in words is "three billion, four hundred forty-one million, one hundred twenty-one thousand, two hundred".