34590781568 has 128 divisors (see below), whose sum is σ = 80504928000. Its totient is φ = 14497247232.

The previous prime is 34590781567. The next prime is 34590781571. The reversal of 34590781568 is 86518709543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (34590781567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17047178 + ... + 17049206.

It is an arithmetic number, because the mean of its divisors is an integer number (628944750).

Almost surely, 2^34590781568 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 34590781568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40252464000).

34590781568 is an abundant number, since it is smaller than the sum of its proper divisors (45914146432).

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

34590781568 is a wasteful number, since it uses less digits than its factorization.

34590781568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 34590781568 in words is "thirty-four billion, five hundred ninety million, seven hundred eighty-one thousand, five hundred sixty-eight".