3442146144 has 192 divisors, whose sum is σ = 9876142080. Its totient is φ = 1046650880.

The previous prime is 3442146089. The next prime is 3442146161. The reversal of 3442146144 is 4416412443.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4254412 + ... + 4255220.

It is an arithmetic number, because the mean of its divisors is an integer number (51438240).

Almost surely, 2^3442146144 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 3442146144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938071040).

3442146144 is an abundant number, since it is smaller than the sum of its proper divisors (6433995936).

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

3442146144 is a wasteful number, since it uses less digits than its factorization.

3442146144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 925 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 3442146144 is about 58669.8060675165. The cubic root of 3442146144 is about 1509.8823269849.

Adding to 3442146144 its reverse (4416412443), we get a palindrome (7858558587).

The spelling of 3442146144 in words is "three billion, four hundred forty-two million, one hundred forty-six thousand, one hundred forty-four".