3985408800 has 108 divisors (see below), whose sum is σ = 14053573170. Its totient is φ = 1062773760.

The previous prime is 3985408751. The next prime is 3985408807. The reversal of 3985408800 is 88045893.

It can be written as a sum of positive squares in 3 ways, for example, as 3749847696 + 235561104 = 61236^2 + 15348^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3985408807) 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 17 ways as a sum of consecutive naturals, for example, 269565 + ... + 283964.

Almost surely, 2^3985408800 is an apocalyptic number.

3985408800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3985408800 is an abundant number, since it is smaller than the sum of its proper divisors (10068164370).

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

3985408800 is a wasteful number, since it uses less digits than its factorization.

3985408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553555 (or 553539 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3985408800 is about 63130.0942498900. The cubic root of 3985408800 is about 1585.4685263852.

The spelling of 3985408800 in words is "three billion, nine hundred eighty-five million, four hundred eight thousand, eight hundred".