31344114340 has 384 divisors, whose sum is σ = 88554332160. Its totient is φ = 9032601600.

The previous prime is 31344114311. The next prime is 31344114349. The reversal of 31344114340 is 4341144313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 31344114299 and 31344114308.

It is not an unprimeable number, because it can be changed into a prime (31344114349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192295099 + ... + 192295261.

It is an arithmetic number, because the mean of its divisors is an integer number (230610240).

Almost surely, 2^31344114340 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 31344114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44277166080).

31344114340 is an abundant number, since it is smaller than the sum of its proper divisors (57210217820).

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

31344114340 is a wasteful number, since it uses less digits than its factorization.

31344114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 31344114340 its reverse (4341144313), we get a palindrome (35685258653).

The spelling of 31344114340 in words is "thirty-one billion, three hundred forty-four million, one hundred fourteen thousand, three hundred forty".