3441144400 has 60 divisors (see below), whose sum is σ = 8280863964. Its totient is φ = 1374208000.

The previous prime is 3441144389. The next prime is 3441144401. The reversal of 3441144400 is 44411443.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 435473424 + 3005670976 = 20868^2 + 54824^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441144401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249690 + ... + 263110.

Almost surely, 2^3441144400 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 3441144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140431982).

3441144400 is an abundant number, since it is smaller than the sum of its proper divisors (4839719564).

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

3441144400 is a wasteful number, since it uses less digits than its factorization.

3441144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14080 (or 14069 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 3441144400 is about 58661.2683122348. The cubic root of 3441144400 is about 1509.7358425681.

Adding to 3441144400 its reverse (44411443), we get a palindrome (3485555843).

The spelling of 3441144400 in words is "three billion, four hundred forty-one million, one hundred forty-four thousand, four hundred".