31344444100 has 144 divisors (see below), whose sum is σ = 73145318400. Its totient is φ = 11632320000.

The previous prime is 31344444097. The next prime is 31344444101. The reversal of 31344444100 is 144444313.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (31344444101) 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, 13573746 + ... + 13576054.

It is an arithmetic number, because the mean of its divisors is an integer number (507953600).

Almost surely, 2^31344444100 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 31344444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36572659200).

31344444100 is an abundant number, since it is smaller than the sum of its proper divisors (41800874300).

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

31344444100 is a wasteful number, since it uses less digits than its factorization.

31344444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 31344444100 its reverse (144444313), we get a palindrome (31488888413).

The spelling of 31344444100 in words is "thirty-one billion, three hundred forty-four million, four hundred forty-four thousand, one hundred".