3144424080 has 240 divisors, whose sum is σ = 11582472960. Its totient is φ = 703309824.

The previous prime is 3144424069. The next prime is 3144424081. The reversal of 3144424080 is 804244413.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144424081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549876 + ... + 555564.

It is an arithmetic number, because the mean of its divisors is an integer number (48260304).

Almost surely, 2^3144424080 is an apocalyptic number.

3144424080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144424080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791236480).

3144424080 is an abundant number, since it is smaller than the sum of its proper divisors (8438048880).

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

3144424080 is a wasteful number, since it uses less digits than its factorization.

3144424080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 3144424080 is about 56075.1645561562. The cubic root of 3144424080 is about 1465.0317535158.

Adding to 3144424080 its reverse (804244413), we get a palindrome (3948668493).

The spelling of 3144424080 in words is "three billion, one hundred forty-four million, four hundred twenty-four thousand, eighty".