34431342341032 has 128 divisors (see below), whose sum is σ = 79722827331840. Its totient is φ = 13575626956800.

The previous prime is 34431342341027. The next prime is 34431342341041. The reversal of 34431342341032 is 23014324313443.

It is a junction number, because it is equal to n+sod(n) for n = 34431342340982 and 34431342341000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1593959032 + ... + 1593980632.

It is an arithmetic number, because the mean of its divisors is an integer number (622834588530).

Almost surely, 2^{34431342341032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34431342341032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39861413665920).

34431342341032 is an abundant number, since it is smaller than the sum of its proper divisors (45291484990808).

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

34431342341032 is a wasteful number, since it uses less digits than its factorization.

34431342341032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28851 (or 28847 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 34431342341032 its reverse (23014324313443), we get a palindrome (57445666654475).

The spelling of 34431342341032 in words is "thirty-four trillion, four hundred thirty-one billion, three hundred forty-two million, three hundred forty-one thousand, thirty-two".