34064600 has 96 divisors (see below), whose sum is σ = 86177520. Its totient is φ = 12472320.

The previous prime is 34064599. The next prime is 34064603. The reversal of 34064600 is 646043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34064603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146084 + ... + 146316.

Almost surely, 2^34064600 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 34064600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43088760).

34064600 is an abundant number, since it is smaller than the sum of its proper divisors (52112920).

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

34064600 is a wasteful number, since it uses less digits than its factorization.

34064600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 34064600 is about 5836.4886704251. The cubic root of 34064600 is about 324.1662257344.

The spelling of 34064600 in words is "thirty-four million, sixty-four thousand, six hundred".