34257608 has 64 divisors (see below), whose sum is σ = 84326400. Its totient is φ = 12640320.

The previous prime is 34257607. The next prime is 34257611. The reversal of 34257608 is 80675243.

It is a happy number.

It is a Cunningham number, because it is equal to 5853²-1.

It is not an unprimeable number, because it can be changed into a prime (34257607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10241 + ... + 13167.

It is an arithmetic number, because the mean of its divisors is an integer number (1317600).

Almost surely, 2^34257608 is an apocalyptic number.

34257608 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34257608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42163200).

34257608 is an abundant number, since it is smaller than the sum of its proper divisors (50068792).

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

34257608 is a wasteful number, since it uses less digits than its factorization.

34257608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 34257608 is about 5852.9999145737. Note that the first 4 decimals coincide. The cubic root of 34257608 is about 324.7773085897. Note that the first 3 decimals are identical.

The spelling of 34257608 in words is "thirty-four million, two hundred fifty-seven thousand, six hundred eight".