3811808000 has 864 divisors, whose sum is σ = 13740487488. Its totient is φ = 1032192000.

The previous prime is 3811807999. The next prime is 3811808023. The reversal of 3811808000 is 8081183.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224223992 + ... + 224224008.

It is an arithmetic number, because the mean of its divisors is an integer number (15903342).

Almost surely, 2^3811808000 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 3811808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870243744).

3811808000 is an abundant number, since it is smaller than the sum of its proper divisors (9928679488).

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

3811808000 is a wasteful number, since it uses less digits than its factorization.

3811808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 3811808000 is about 61739.8412696372. The cubic root of 3811808000 is about 1562.1054192976.

Adding to 3811808000 its reverse (8081183), we get a palindrome (3819889183).

The spelling of 3811808000 in words is "three billion, eight hundred eleven million, eight hundred eight thousand".