3441124200 has 144 divisors (see below), whose sum is σ = 11259190080. Its totient is φ = 869281920.

The previous prime is 3441124199. The next prime is 3441124331. The reversal of 3441124200 is 24211443.

3441124200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208657 + ... + 224543.

It is an arithmetic number, because the mean of its divisors is an integer number (78188820).

Almost surely, 2^3441124200 is an apocalyptic number.

3441124200 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 3441124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629595040).

3441124200 is an abundant number, since it is smaller than the sum of its proper divisors (7818065880).

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

3441124200 is a wasteful number, since it uses less digits than its factorization.

3441124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15944 (or 15916 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3441124200 is about 58661.0961370481. The cubic root of 3441124200 is about 1509.7328884420.

Adding to 3441124200 its reverse (24211443), we get a palindrome (3465335643).

The spelling of 3441124200 in words is "three billion, four hundred forty-one million, one hundred twenty-four thousand, two hundred".