3122406144 has 486 divisors, whose sum is σ = 11043137196. Its totient is φ = 873400320.

The previous prime is 3122406137. The next prime is 3122406187. The reversal of 3122406144 is 4416042213.

It is a happy number.

3122406144 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 40 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (486).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 240185082 + ... + 240185094.

Almost surely, 2^3122406144 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 3122406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521568598).

3122406144 is an abundant number, since it is smaller than the sum of its proper divisors (7920731052).

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

3122406144 is an frugal number, since it uses more digits than its factorization.

3122406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3122406144 is about 55878.4944679078. The cubic root of 3122406144 is about 1461.6042514861.

Adding to 3122406144 its reverse (4416042213), we get a palindrome (7538448357).

The spelling of 3122406144 in words is "three billion, one hundred twenty-two million, four hundred six thousand, one hundred forty-four".