34350967056 has 160 divisors (see below), whose sum is σ = 103882240000. Its totient is φ = 9777075840.

The previous prime is 34350967051. The next prime is 34350967069. The reversal of 34350967056 is 65076905343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 34350966996 and 34350967014.

It is not an unprimeable number, because it can be changed into a prime (34350967051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4457895 + ... + 4465593.

It is an arithmetic number, because the mean of its divisors is an integer number (649264000).

Almost surely, 2^34350967056 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 34350967056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51941120000).

34350967056 is an abundant number, since it is smaller than the sum of its proper divisors (69531272944).

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

34350967056 is a wasteful number, since it uses less digits than its factorization.

34350967056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8002 (or 7982 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 48.

The spelling of 34350967056 in words is "thirty-four billion, three hundred fifty million, nine hundred sixty-seven thousand, fifty-six".