34608896 has 108 divisors (see below), whose sum is σ = 83885760. Its totient is φ = 14192640.

The previous prime is 34608887. The next prime is 34608901. The reversal of 34608896 is 69880643.

34608896 = 20³ + 21³ + ... + 108³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388820 + ... + 388908.

It is an arithmetic number, because the mean of its divisors is an integer number (776720).

Almost surely, 2^34608896 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 34608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41942880).

34608896 is an abundant number, since it is smaller than the sum of its proper divisors (49276864).

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

34608896 is an equidigital number, since it uses as much as digits as its factorization.

34608896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 34608896 is about 5882.9326020277. The cubic root of 34608896 is about 325.8836575325.

The spelling of 34608896 in words is "thirty-four million, six hundred eight thousand, eight hundred ninety-six".