34032800 has 72 divisors (see below), whose sum is σ = 87494400. Its totient is φ = 12890880.

The previous prime is 34032769. The next prime is 34032809. The reversal of 34032800 is 823043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (34032809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14081 + ... + 16319.

It is an arithmetic number, because the mean of its divisors is an integer number (1215200).

Almost surely, 2^34032800 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 34032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747200).

34032800 is an abundant number, since it is smaller than the sum of its proper divisors (53461600).

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

34032800 is a wasteful number, since it uses less digits than its factorization.

34032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 34032800 is about 5833.7637936413. The cubic root of 34032800 is about 324.0653223981.

Adding to 34032800 its reverse (823043), we get a palindrome (34855843).

The spelling of 34032800 in words is "thirty-four million, thirty-two thousand, eight hundred".