34066760 has 128 divisors (see below), whose sum is σ = 96768000. Its totient is φ = 10725120.

The previous prime is 34066733. The next prime is 34066763. The reversal of 34066760 is 6766043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34066763) 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, 178265 + ... + 178455.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^34066760 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 34066760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384000).

34066760 is an abundant number, since it is smaller than the sum of its proper divisors (62701240).

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

34066760 is a wasteful number, since it uses less digits than its factorization.

34066760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 34066760 is about 5836.6737102566. The cubic root of 34066760 is about 324.1730772679.

The spelling of 34066760 in words is "thirty-four million, sixty-six thousand, seven hundred sixty".