3961663800 has 96 divisors (see below), whose sum is σ = 12350102400. Its totient is φ = 1050513280.

The previous prime is 3961663777. The next prime is 3961663801. The reversal of 3961663800 is 83661693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961663801) 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 23 ways as a sum of consecutive naturals, for example, 88957 + ... + 125843.

It is an arithmetic number, because the mean of its divisors is an integer number (128646900).

Almost surely, 2^3961663800 is an apocalyptic number.

3961663800 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 3961663800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175051200).

3961663800 is an abundant number, since it is smaller than the sum of its proper divisors (8388438600).

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

3961663800 is a wasteful number, since it uses less digits than its factorization.

3961663800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37085 (or 37076 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3961663800 is about 62941.7492607252. The cubic root of 3961663800 is about 1582.3135204496.

The spelling of 3961663800 in words is "three billion, nine hundred sixty-one million, six hundred sixty-three thousand, eight hundred".