344424340032 has 112 divisors (see below), whose sum is σ = 965083363200. Its totient is φ = 108033564672.

The previous prime is 344424340031. The next prime is 344424340033. The reversal of 344424340032 is 230043424443.

It is an interprime number because it is at equal distance from previous prime (344424340031) and next prime (344424340033).

It is a super-2 number, since 2×344424340032² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344424339975 and 344424340002.

It is not an unprimeable number, because it can be changed into a prime (344424340031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30509493 + ... + 30520779.

Almost surely, 2^344424340032 is an apocalyptic number.

344424340032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

344424340032 is an abundant number, since it is smaller than the sum of its proper divisors (620659023168).

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

344424340032 is a wasteful number, since it uses less digits than its factorization.

344424340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20668 (or 20658 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 344424340032 its reverse (230043424443), we get a palindrome (574467764475).

The spelling of 344424340032 in words is "three hundred forty-four billion, four hundred twenty-four million, three hundred forty thousand, thirty-two".