6034000800 has 288 divisors, whose sum is σ = 20458690560. Its totient is φ = 1543449600.

The previous prime is 6034000799. The next prime is 6034000813. The reversal of 6034000800 is 80004306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6088305 + ... + 6089295.

It is an arithmetic number, because the mean of its divisors is an integer number (71037120).

Almost surely, 2^6034000800 is an apocalyptic number.

6034000800 is a gapful number since it is divisible by the number (60) 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 6034000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229345280).

6034000800 is an abundant number, since it is smaller than the sum of its proper divisors (14424689760).

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

6034000800 is a wasteful number, since it uses less digits than its factorization.

6034000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6034000800 is about 77678.8310931621. The cubic root of 6034000800 is about 1820.5465492138.

The spelling of 6034000800 in words is "six billion, thirty-four million, eight hundred", and thus it is an aban number.