344403734340 has 96 divisors (see below), whose sum is σ = 972373248000. Its totient is φ = 91076003200.

The previous prime is 344403734333. The next prime is 344403734347. The reversal of 344403734340 is 43437304443.

It is an interprime number because it is at equal distance from previous prime (344403734333) and next prime (344403734347).

It is a super-2 number, since 2×344403734340² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344403734347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11767525 + ... + 11796755.

It is an arithmetic number, because the mean of its divisors is an integer number (10128888000).

Almost surely, 2^344403734340 is an apocalyptic number.

344403734340 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 344403734340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486186624000).

344403734340 is an abundant number, since it is smaller than the sum of its proper divisors (627969513660).

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

344403734340 is a wasteful number, since it uses less digits than its factorization.

344403734340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30873 (or 30871 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 39.

The spelling of 344403734340 in words is "three hundred forty-four billion, four hundred three million, seven hundred thirty-four thousand, three hundred forty".