3442144024 has 64 divisors (see below), whose sum is σ = 7313402880. Its totient is φ = 1504656000.

The previous prime is 3442144007. The next prime is 3442144031. The reversal of 3442144024 is 4204412443.

3442144024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×3442144024⁵ (a number of 49 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3442143983 and 3442144001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440794 + ... + 448534.

It is an arithmetic number, because the mean of its divisors is an integer number (114271920).

Almost surely, 2^3442144024 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 3442144024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656701440).

3442144024 is an abundant number, since it is smaller than the sum of its proper divisors (3871258856).

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

3442144024 is a wasteful number, since it uses less digits than its factorization.

3442144024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7952 (or 7948 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 3442144024 is about 58669.7880002988. The cubic root of 3442144024 is about 1509.8820170086.

Adding to 3442144024 its reverse (4204412443), we get a palindrome (7646556467).

The spelling of 3442144024 in words is "three billion, four hundred forty-two million, one hundred forty-four thousand, twenty-four".