3963985200 has 720 divisors, whose sum is σ = 17558161920. Its totient is φ = 806215680.

The previous prime is 3963985139. The next prime is 3963985241. The reversal of 3963985200 is 25893693.

3963985200 is a `hidden beast` number, since 3 + 9 + 639 + 8 + 5 + 2 + 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8139357 + ... + 8139843.

It is an arithmetic number, because the mean of its divisors is an integer number (24386336).

Almost surely, 2^3963985200 is an apocalyptic number.

3963985200 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 3963985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8779080960).

3963985200 is an abundant number, since it is smaller than the sum of its proper divisors (13594176720).

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

3963985200 is a wasteful number, since it uses less digits than its factorization.

3963985200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3963985200 is about 62960.1874203055. The cubic root of 3963985200 is about 1582.6225207057.

The spelling of 3963985200 in words is "three billion, nine hundred sixty-three million, nine hundred eighty-five thousand, two hundred".