344233132040 has 192 divisors, whose sum is σ = 909571777200. Its totient is φ = 116901937152.

The previous prime is 344233132013. The next prime is 344233132079. The reversal of 344233132040 is 40231332443.

It can be written as a sum of positive squares in 8 ways, for example, as 156010780324 + 188222351716 = 394982^2 + 433846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 344233131994 and 344233132012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108623576 + ... + 108626744.

Almost surely, 2^344233132040 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 344233132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454785888600).

344233132040 is an abundant number, since it is smaller than the sum of its proper divisors (565338645160).

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

344233132040 is a wasteful number, since it uses less digits than its factorization.

344233132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 344233132040 its reverse (40231332443), we get a palindrome (384464464483).

The spelling of 344233132040 in words is "three hundred forty-four billion, two hundred thirty-three million, one hundred thirty-two thousand, forty".