3224141400 has 96 divisors (see below), whose sum is σ = 10045941840. Its totient is φ = 855375360.

The previous prime is 3224141363. The next prime is 3224141413. The reversal of 3224141400 is 41414223.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104562 + ... + 131838.

Almost surely, 2^3224141400 is an apocalyptic number.

3224141400 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 3224141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022970920).

3224141400 is an abundant number, since it is smaller than the sum of its proper divisors (6821800440).

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

3224141400 is a wasteful number, since it uses less digits than its factorization.

3224141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27493 (or 27484 counting only the distinct ones).

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

The square root of 3224141400 is about 56781.5234033044. The cubic root of 3224141400 is about 1477.3090559788.

Adding to 3224141400 its reverse (41414223), we get a palindrome (3265555623).

The spelling of 3224141400 in words is "three billion, two hundred twenty-four million, one hundred forty-one thousand, four hundred".