34448064 has 168 divisors, whose sum is σ = 111483648. Its totient is φ = 9192960.

The previous prime is 34448059. The next prime is 34448093. The reversal of 34448064 is 46084443.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×34448064² = 2373338226696192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485149 + ... + 485219.

Almost surely, 2^34448064 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 34448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55741824).

34448064 is an abundant number, since it is smaller than the sum of its proper divisors (77035584).

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

34448064 is a wasteful number, since it uses less digits than its factorization.

34448064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 34448064 is about 5869.2473111976. The cubic root of 34448064 is about 325.3780657533.

The spelling of 34448064 in words is "thirty-four million, four hundred forty-eight thousand, sixty-four".