3805424400 has 60 divisors (see below), whose sum is σ = 12190046672. Its totient is φ = 1014779520.

The previous prime is 3805424387. The next prime is 3805424401. The reversal of 3805424400 is 44245083.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3805424401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1584394 + ... + 1586793.

Almost surely, 2^3805424400 is an apocalyptic number.

3805424400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3805424400 is an abundant number, since it is smaller than the sum of its proper divisors (8384622272).

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

3805424400 is a wasteful number, since it uses less digits than its factorization.

3805424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171208 (or 3171197 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 3805424400 is about 61688.1220333380. The cubic root of 3805424400 is about 1561.2329175057.

Adding to 3805424400 its reverse (44245083), we get a palindrome (3849669483).

The spelling of 3805424400 in words is "three billion, eight hundred five million, four hundred twenty-four thousand, four hundred".