34025600 has 192 divisors, whose sum is σ = 101184000. Its totient is φ = 11289600.

The previous prime is 34025597. The next prime is 34025609. The reversal of 34025600 is 652043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34025609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1097585 + ... + 1097615.

It is an arithmetic number, because the mean of its divisors is an integer number (527000).

Almost surely, 2^34025600 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 34025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50592000).

34025600 is an abundant number, since it is smaller than the sum of its proper divisors (67158400).

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

34025600 is an equidigital number, since it uses as much as digits as its factorization.

34025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 34025600 is about 5833.1466636799. The cubic root of 34025600 is about 324.0424676336.

Adding to 34025600 its reverse (652043), we get a palindrome (34677643).

The spelling of 34025600 in words is "thirty-four million, twenty-five thousand, six hundred".