31344344340 has 192 divisors, whose sum is σ = 96044659200. Its totient is φ = 7612932096.

The previous prime is 31344344329. The next prime is 31344344341. The reversal of 31344344340 is 4344344313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31344344341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2916096 + ... + 2926824.

It is an arithmetic number, because the mean of its divisors is an integer number (500232600).

Almost surely, 2^31344344340 is an apocalyptic number.

31344344340 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 31344344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48022329600).

31344344340 is an abundant number, since it is smaller than the sum of its proper divisors (64700314860).

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

31344344340 is a wasteful number, since it uses less digits than its factorization.

31344344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10866 (or 10864 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 31344344340 its reverse (4344344313), we get a palindrome (35688688653).

It can be divided in two parts, 313 and 44344340, that added together give a triangular number (44344653 = T₉₄₁₇).

The spelling of 31344344340 in words is "thirty-one billion, three hundred forty-four million, three hundred forty-four thousand, three hundred forty".