3444141200 has 120 divisors (see below), whose sum is σ = 8508955392. Its totient is φ = 1339048960.

The previous prime is 3444141133. The next prime is 3444141209. The reversal of 3444141200 is 21414443.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3444141209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3139052 + ... + 3140148.

Almost surely, 2^3444141200 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 3444141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254477696).

3444141200 is an abundant number, since it is smaller than the sum of its proper divisors (5064814192).

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

3444141200 is a wasteful number, since it uses less digits than its factorization.

3444141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3444141200 is about 58686.8060129362. The cubic root of 3444141200 is about 1510.1739781704.

Adding to 3444141200 its reverse (21414443), we get a palindrome (3465555643).

The spelling of 3444141200 in words is "three billion, four hundred forty-four million, one hundred forty-one thousand, two hundred".