34431056643344 has 40 divisors (see below), whose sum is σ = 66752149464000. Its totient is φ = 17204697507200.

The previous prime is 34431056643343. The next prime is 34431056643371. The reversal of 34431056643344 is 44334665013443.

It is a junction number, because it is equal to n+sod(n) for n = 34431056643292 and 34431056643301.

It is not an unprimeable number, because it can be changed into a prime (34431056643343) 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, 301147949 + ... + 301262259.

It is an arithmetic number, because the mean of its divisors is an integer number (1668803736600).

Almost surely, 2^{34431056643344} is an apocalyptic number.

It is an amenable number.

34431056643344 is a deficient number, since it is larger than the sum of its proper divisors (32321092820656).

34431056643344 is a wasteful number, since it uses less digits than its factorization.

34431056643344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125999 (or 125993 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 50.

The spelling of 34431056643344 in words is "thirty-four trillion, four hundred thirty-one billion, fifty-six million, six hundred forty-three thousand, three hundred forty-four".