3402144144 has 120 divisors (see below), whose sum is σ = 10922783040. Its totient is φ = 968350464.

The previous prime is 3402144139. The next prime is 3402144167. The reversal of 3402144144 is 4414412043.

3402144144 is a `hidden beast` number, since 34 + 0 + 214 + 414 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264879 + ... + 277425.

It is an arithmetic number, because the mean of its divisors is an integer number (91023192).

Almost surely, 2^3402144144 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 3402144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461391520).

3402144144 is an abundant number, since it is smaller than the sum of its proper divisors (7520638896).

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

3402144144 is a wasteful number, since it uses less digits than its factorization.

3402144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12837 (or 12828 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3402144144 is about 58327.9019338087. The cubic root of 3402144144 is about 1504.0106217184.

Adding to 3402144144 its reverse (4414412043), we get a palindrome (7816556187).

The spelling of 3402144144 in words is "three billion, four hundred two million, one hundred forty-four thousand, one hundred forty-four".