10344234340 has 72 divisors (see below), whose sum is σ = 23946846840. Its totient is φ = 3750574080.

The previous prime is 10344234331. The next prime is 10344234343. The reversal of 10344234340 is 4343244301.

It can be written as a sum of positive squares in 4 ways, for example, as 3689590564 + 6654643776 = 60742^2 + 81576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10344234299 and 10344234308.

It is not an unprimeable number, because it can be changed into a prime (10344234343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 848206 + ... + 860314.

It is an arithmetic number, because the mean of its divisors is an integer number (332595095).

Almost surely, 2^10344234340 is an apocalyptic number.

10344234340 is a gapful number since it is divisible by the number (10) 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 10344234340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973423420).

10344234340 is an abundant number, since it is smaller than the sum of its proper divisors (13602612500).

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

10344234340 is a wasteful number, since it uses less digits than its factorization.

10344234340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12493 (or 12480 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 10344234340 its reverse (4343244301), we get a palindrome (14687478641).

The spelling of 10344234340 in words is "ten billion, three hundred forty-four million, two hundred thirty-four thousand, three hundred forty".