3808166400 has 300 divisors, whose sum is σ = 14098141002. Its totient is φ = 1015234560.

The previous prime is 3808166381. The next prime is 3808166431. The reversal of 3808166400 is 46618083.

It is a happy number.

3808166400 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 1 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1853819136 + 1954347264 = 43056^2 + 44208^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 1034964 + ... + 1038636.

Almost surely, 2^3808166400 is an apocalyptic number.

3808166400 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 3808166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7049070501).

3808166400 is an abundant number, since it is smaller than the sum of its proper divisors (10289974602).

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

3808166400 is an equidigital number, since it uses as much as digits as its factorization.

3808166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3808166400 is about 61710.3427311824. The cubic root of 3808166400 is about 1561.6078098015.

The spelling of 3808166400 in words is "three billion, eight hundred eight million, one hundred sixty-six thousand, four hundred".