344013000032 has 48 divisors (see below), whose sum is σ = 729435429072. Its totient is φ = 158761797120.

The previous prime is 344013000031. The next prime is 344013000109. The reversal of 344013000032 is 230000310443.

It is a junction number, because it is equal to n+sod(n) for n = 344012999968 and 344013000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344013000031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6237923 + ... + 6292829.

It is an arithmetic number, because the mean of its divisors is an integer number (15196571439).

Almost surely, 2^344013000032 is an apocalyptic number.

344013000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

344013000032 is an abundant number, since it is smaller than the sum of its proper divisors (385422429040).

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

344013000032 is a wasteful number, since it uses less digits than its factorization.

344013000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69991 (or 69983 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 344013000032 its reverse (230000310443), we get a palindrome (574013310475).

The spelling of 344013000032 in words is "three hundred forty-four billion, thirteen million, thirty-two", and thus it is an aban number.