34064000 has 64 divisors (see below), whose sum is σ = 84731400. Its totient is φ = 13619200.

The previous prime is 34063999. The next prime is 34064003. The reversal of 34064000 is 46043.

It can be written as a sum of positive squares in 4 ways, for example, as 6270016 + 27793984 = 2504^2 + 5272^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 34064000.

It is not an unprimeable number, because it can be changed into a prime (34064003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14936 + ... + 17064.

Almost surely, 2^34064000 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 34064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42365700).

34064000 is an abundant number, since it is smaller than the sum of its proper divisors (50667400).

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

34064000 is an equidigital number, since it uses as much as digits as its factorization.

34064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 34064000 is about 5836.4372694307. The cubic root of 34064000 is about 324.1643224792.

The spelling of 34064000 in words is "thirty-four million, sixty-four thousand", and thus it is an eban number.