3966131820 has 192 divisors, whose sum is σ = 13397529600. Its totient is φ = 856396800.

The previous prime is 3966131809. The next prime is 3966131849. The reversal of 3966131820 is 281316693.

It is a super-2 number, since 2×3966131820² = 31460403227233024800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5593626 + ... + 5594334.

It is an arithmetic number, because the mean of its divisors is an integer number (69778800).

Almost surely, 2^3966131820 is an apocalyptic number.

3966131820 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 3966131820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6698764800).

3966131820 is an abundant number, since it is smaller than the sum of its proper divisors (9431397780).

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

3966131820 is a wasteful number, since it uses less digits than its factorization.

3966131820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3966131820 is about 62977.2325527250. The cubic root of 3966131820 is about 1582.9081487561.

The spelling of 3966131820 in words is "three billion, nine hundred sixty-six million, one hundred thirty-one thousand, eight hundred twenty".