34328800 has 144 divisors (see below), whose sum is σ = 94493952. Its totient is φ = 12070400.

The previous prime is 34328783. The next prime is 34328809. The reversal of 34328800 is 882343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34328809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413559 + ... + 413641.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^34328800 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 34328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47246976).

34328800 is an abundant number, since it is smaller than the sum of its proper divisors (60165152).

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

34328800 is a wasteful number, since it uses less digits than its factorization.

34328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 34328800 is about 5859.0784258277. The cubic root of 34328800 is about 325.0021301636.

The spelling of 34328800 in words is "thirty-four million, three hundred twenty-eight thousand, eight hundred".