3843806400 has 840 divisors, whose sum is σ = 17073351680. Its totient is φ = 828610560.

The previous prime is 3843806377. The next prime is 3843806401. The reversal of 3843806400 is 46083483.

3843806400 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 8 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is not an unprimeable number, because it can be changed into a prime (3843806401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17236689 + ... + 17236911.

Almost surely, 2^3843806400 is an apocalyptic number.

3843806400 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 3843806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8536675840).

3843806400 is an abundant number, since it is smaller than the sum of its proper divisors (13229545280).

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

3843806400 is a wasteful number, since it uses less digits than its factorization.

3843806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3843806400 is about 61998.4386900186. The cubic root of 3843806400 is about 1566.4643006057.

Adding to 3843806400 its reverse (46083483), we get a palindrome (3889889883).

The spelling of 3843806400 in words is "three billion, eight hundred forty-three million, eight hundred six thousand, four hundred".