34431444312 has 64 divisors (see below), whose sum is σ = 91256908800. Its totient is φ = 10806721920.

The previous prime is 34431444277. The next prime is 34431444317. The reversal of 34431444312 is 21344413443.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34431444317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597862 + ... + 652917.

It is an arithmetic number, because the mean of its divisors is an integer number (1425889200).

Almost surely, 2^34431444312 is an apocalyptic number.

It is an amenable number.

34431444312 is an abundant number, since it is smaller than the sum of its proper divisors (56825464488).

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

34431444312 is a wasteful number, since it uses less digits than its factorization.

34431444312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250856 (or 1250852 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 34431444312 its reverse (21344413443), we get a palindrome (55775857755).

The spelling of 34431444312 in words is "thirty-four billion, four hundred thirty-one million, four hundred forty-four thousand, three hundred twelve".