31344427008 has 288 divisors, whose sum is σ = 98523825120. Its totient is φ = 9814671360.

The previous prime is 31344427001. The next prime is 31344427043. The reversal of 31344427008 is 80072444313.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31344427001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60161788 + ... + 60162308.

It is an arithmetic number, because the mean of its divisors is an integer number (342096615).

Almost surely, 2^31344427008 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 31344427008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49261912560).

31344427008 is an abundant number, since it is smaller than the sum of its proper divisors (67179398112).

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

31344427008 is an frugal number, since it uses more digits than its factorization.

31344427008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 31344427008 in words is "thirty-one billion, three hundred forty-four million, four hundred twenty-seven thousand, eight".