34064800 has 216 divisors, whose sum is σ = 106868160. Its totient is φ = 10483200.

The previous prime is 34064783. The next prime is 34064803. The reversal of 34064800 is 846043.

It is a super-3 number, since 3×34064800³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34064803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 431161 + ... + 431239.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 2^34064800 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 34064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

34064800 is an abundant number, since it is smaller than the sum of its proper divisors (72803360).

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

34064800 is a wasteful number, since it uses less digits than its factorization.

34064800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 34064800 is about 5836.5058039892. The cubic root of 34064800 is about 324.1668601478.

The spelling of 34064800 in words is "thirty-four million, sixty-four thousand, eight hundred".