344130140310 has 256 divisors, whose sum is σ = 980615808000. Its totient is φ = 76356403200.

The previous prime is 344130140309. The next prime is 344130140351. The reversal of 344130140310 is 13041031443.

It is a super-2 number, since 2×344130140310² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30451041 + ... + 30462339.

It is an arithmetic number, because the mean of its divisors is an integer number (3830530500).

Almost surely, 2^344130140310 is an apocalyptic number.

344130140310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344130140310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490307904000).

344130140310 is an abundant number, since it is smaller than the sum of its proper divisors (636485667690).

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

344130140310 is a wasteful number, since it uses less digits than its factorization.

344130140310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11487.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 344130140310 its reverse (13041031443), we get a palindrome (357171171753).

The spelling of 344130140310 in words is "three hundred forty-four billion, one hundred thirty million, one hundred forty thousand, three hundred ten".