34957608 has 128 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 9351936.

The previous prime is 34957607. The next prime is 34957619. The reversal of 34957608 is 80675943.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 34957608.

It is not an unprimeable number, because it can be changed into a prime (34957603) 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, 320658 + ... + 320766.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^34957608 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 34957608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

34957608 is an abundant number, since it is smaller than the sum of its proper divisors (71487192).

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

34957608 is a wasteful number, since it uses less digits than its factorization.

34957608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 34957608 is about 5912.4959196603. The cubic root of 34957608 is about 326.9745138139.

The spelling of 34957608 in words is "thirty-four million, nine hundred fifty-seven thousand, six hundred eight".