3413022144 has 224 divisors, whose sum is σ = 10718231040. Its totient is φ = 938262528.

The previous prime is 3413022127. The next prime is 3413022149. The reversal of 3413022144 is 4412203143.

3413022144 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 a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413022149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4218412 + ... + 4219220.

Almost surely, 2^3413022144 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 3413022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359115520).

3413022144 is an abundant number, since it is smaller than the sum of its proper divisors (7305208896).

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

3413022144 is a wasteful number, since it uses less digits than its factorization.

3413022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3413022144 is about 58421.0761968658. The cubic root of 3413022144 is about 1505.6118885105.

Adding to 3413022144 its reverse (4412203143), we get a palindrome (7825225287).

The spelling of 3413022144 in words is "three billion, four hundred thirteen million, twenty-two thousand, one hundred forty-four".