34996608 has 96 divisors (see below), whose sum is σ = 106689960. Its totient is φ = 10973184.

The previous prime is 34996607. The next prime is 34996691. The reversal of 34996608 is 80669943.

34996608 is a `hidden beast` number, since 34 + 9 + 9 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34996607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18691 + ... + 20477.

Almost surely, 2^34996608 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 34996608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53344980).

34996608 is an abundant number, since it is smaller than the sum of its proper divisors (71693352).

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

34996608 is a wasteful number, since it uses less digits than its factorization.

34996608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 34996608 is about 5915.7930998303. The cubic root of 34996608 is about 327.0960635756.

The spelling of 34996608 in words is "thirty-four million, nine hundred ninety-six thousand, six hundred eight".