34108896 has 48 divisors (see below), whose sum is σ = 90889344. Its totient is φ = 11197824.

The previous prime is 34108861. The next prime is 34108913. The reversal of 34108896 is 69880143.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3781 + ... + 9083.

It is an arithmetic number, because the mean of its divisors is an integer number (1893528).

Almost surely, 2^34108896 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 34108896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45444672).

34108896 is an abundant number, since it is smaller than the sum of its proper divisors (56780448).

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

34108896 is a wasteful number, since it uses less digits than its factorization.

34108896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 34108896 is about 5840.2821849633. The cubic root of 34108896 is about 324.3066750336.

The spelling of 34108896 in words is "thirty-four million, one hundred eight thousand, eight hundred ninety-six".