3413424144 has 120 divisors (see below), whose sum is σ = 9579110112. Its totient is φ = 1046922240.

The previous prime is 3413424139. The next prime is 3413424193. The reversal of 3413424144 is 4414243143.

It is a nude number because it is divisible by every one of its digits.

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, 3982564 + ... + 3983420.

Almost surely, 2^3413424144 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 3413424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789555056).

3413424144 is an abundant number, since it is smaller than the sum of its proper divisors (6165685968).

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

3413424144 is a wasteful number, since it uses less digits than its factorization.

3413424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1366 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 3413424144 is about 58424.5166347142. The cubic root of 3413424144 is about 1505.6709986083.

Adding to 3413424144 its reverse (4414243143), we get a palindrome (7827667287).

The spelling of 3413424144 in words is "three billion, four hundred thirteen million, four hundred twenty-four thousand, one hundred forty-four".