34500906 has 48 divisors (see below), whose sum is σ = 82124640. Its totient is φ = 10380960.

The previous prime is 34500901. The next prime is 34500937. The reversal of 34500906 is 60900543.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34500906.

It is not an unprimeable number, because it can be changed into a prime (34500901) 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 23 ways as a sum of consecutive naturals, for example, 31740 + ... + 32808.

It is an arithmetic number, because the mean of its divisors is an integer number (1710930).

Almost surely, 2^34500906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34500906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41062320).

34500906 is an abundant number, since it is smaller than the sum of its proper divisors (47623734).

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

34500906 is a wasteful number, since it uses less digits than its factorization.

34500906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 34500906 is about 5873.7471855707. The cubic root of 34500906 is about 325.5443532190.

The spelling of 34500906 in words is "thirty-four million, five hundred thousand, nine hundred six".