3805448400 has 720 divisors, whose sum is σ = 15268244992. Its totient is φ = 870912000.

The previous prime is 3805448377. The next prime is 3805448429. The reversal of 3805448400 is 48445083.

3805448400 is a `hidden beast` number, since 38 + 0 + 544 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 143 ways as a sum of consecutive naturals, for example, 62384370 + ... + 62384430.

Almost surely, 2^3805448400 is an apocalyptic number.

3805448400 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 3805448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634122496).

3805448400 is an abundant number, since it is smaller than the sum of its proper divisors (11462796592).

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

3805448400 is a wasteful number, since it uses less digits than its factorization.

3805448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3805448400 is about 61688.3165599451. The cubic root of 3805448400 is about 1561.2361996198.

The spelling of 3805448400 in words is "three billion, eight hundred five million, four hundred forty-eight thousand, four hundred".