344323130032032 has 48 divisors (see below), whose sum is σ = 903891346202880. Its totient is φ = 114768899868672.

The previous prime is 344323130031973. The next prime is 344323130032061. The reversal of 344323130032032 is 230230031323443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 344323130031984 and 344323130032002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83552593 + ... + 87576720.

It is an arithmetic number, because the mean of its divisors is an integer number (18831069712560).

Almost surely, 2^{344323130032032} is an apocalyptic number.

344323130032032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

344323130032032 is an abundant number, since it is smaller than the sum of its proper divisors (559568216170848).

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

344323130032032 is a wasteful number, since it uses less digits than its factorization.

344323130032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171150285 (or 171150277 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 33.

Adding to 344323130032032 its reverse (230230031323443), we get a palindrome (574553161355475).

The spelling of 344323130032032 in words is "three hundred forty-four trillion, three hundred twenty-three billion, one hundred thirty million, thirty-two thousand, thirty-two".