34000800 has 144 divisors (see below), whose sum is σ = 114492672. Its totient is φ = 8755200.

The previous prime is 34000781. The next prime is 34000807. The reversal of 34000800 is 800043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34000800.

It is not an unprimeable number, because it can be changed into a prime (34000807) 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, 74172 + ... + 74628.

It is an arithmetic number, because the mean of its divisors is an integer number (795088).

Almost surely, 2^34000800 is an apocalyptic number.

34000800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57246336).

34000800 is an abundant number, since it is smaller than the sum of its proper divisors (80491872).

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

34000800 is a wasteful number, since it uses less digits than its factorization.

34000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34000800 is about 5831.0204938758. The cubic root of 34000800 is about 323.9637209798.

Adding to 34000800 its reverse (800043), we get a palindrome (34800843).

The spelling of 34000800 in words is "thirty-four million, eight hundred", and thus it is an aban number.