3005808000800 has 72 divisors (see below), whose sum is σ = 8005013240112. Its totient is φ = 1093021088000.

The previous prime is 3005808000781. The next prime is 3005808000823. The reversal of 3005808000800 is 80008085003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170775746 + ... + 170793345.

It is an arithmetic number, because the mean of its divisors is an integer number (111180739446).

Almost surely, 2^{3005808000800} is an apocalyptic number.

It is an amenable number.

3005808000800 is an abundant number, since it is smaller than the sum of its proper divisors (4999205239312).

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

3005808000800 is a wasteful number, since it uses less digits than its factorization.

3005808000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341569122 (or 341569109 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 3005808000800 in words is "three trillion, five billion, eight hundred eight million, eight hundred", and thus it is an aban number.