34244507568 has 160 divisors (see below), whose sum is σ = 92016967680. Its totient is φ = 10966959360.

The previous prime is 34244507567. The next prime is 34244507573. The reversal of 34244507568 is 86570544243.

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

It is not an unprimeable number, because it can be changed into a prime (34244507567) 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, 70317021 + ... + 70317507.

It is an arithmetic number, because the mean of its divisors is an integer number (575106048).

Almost surely, 2^34244507568 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 34244507568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46008483840).

34244507568 is an abundant number, since it is smaller than the sum of its proper divisors (57772460112).

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

34244507568 is a wasteful number, since it uses less digits than its factorization.

34244507568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 34244507568 in words is "thirty-four billion, two hundred forty-four million, five hundred seven thousand, five hundred sixty-eight".