34808064 has 72 divisors (see below), whose sum is σ = 94285632. Its totient is φ = 11397120.

The previous prime is 34808051. The next prime is 34808077. The reversal of 34808064 is 46080843.

It is an interprime number because it is at equal distance from previous prime (34808051) and next prime (34808077).

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, 46477 + ... + 47219.

Almost surely, 2^34808064 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 34808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47142816).

34808064 is an abundant number, since it is smaller than the sum of its proper divisors (59477568).

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

34808064 is an equidigital number, since it uses as much as digits as its factorization.

34808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 34808064 is about 5899.8359299221. The cubic root of 34808064 is about 326.5075962076.

The spelling of 34808064 in words is "thirty-four million, eight hundred eight thousand, sixty-four".