3906808000 has 224 divisors, whose sum is σ = 10178296128. Its totient is φ = 1483776000.

The previous prime is 3906807973. The next prime is 3906808007. The reversal of 3906808000 is 8086093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3906808007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14103862 + ... + 14104138.

It is an arithmetic number, because the mean of its divisors is an integer number (45438822).

Almost surely, 2^3906808000 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 3906808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089148064).

3906808000 is an abundant number, since it is smaller than the sum of its proper divisors (6271488128).

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

3906808000 is a wasteful number, since it uses less digits than its factorization.

3906808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 3906808000 is about 62504.4638405930. The cubic root of 3906808000 is about 1574.9762992990.

The spelling of 3906808000 in words is "three billion, nine hundred six million, eight hundred eight thousand".