344644140096 has 189 divisors, whose sum is σ = 1006830896799. Its totient is φ = 112716288000.

The previous prime is 344644140091. The next prime is 344644140101. The reversal of 344644140096 is 690041446443.

The square root of 344644140096 is 587064.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (344644140091) and next prime (344644140101).

It can be written as a sum of positive squares in 4 ways, for example, as 2278725696 + 342365414400 = 47736^2 + 585120^2 .

It is a super-2 number, since 2×344644140096² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344644140091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 859461496 + ... + 859461896.

Almost surely, 2^344644140096 is an apocalyptic number.

344644140096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

344644140096 is the 587064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344644140096

344644140096 is an abundant number, since it is smaller than the sum of its proper divisors (662186756703).

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

344644140096 is an frugal number, since it uses more digits than its factorization.

344644140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 344644140096 in words is "three hundred forty-four billion, six hundred forty-four million, one hundred forty thousand, ninety-six".