3966627816 has 192 divisors, whose sum is σ = 11863687680. Its totient is φ = 1191813120.

The previous prime is 3966627803. The next prime is 3966627827. The reversal of 3966627816 is 6187266693.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4059520 + ... + 4060496.

It is an arithmetic number, because the mean of its divisors is an integer number (61790040).

Almost surely, 2^3966627816 is an apocalyptic number.

3966627816 is a gapful number since it is divisible by the number (36) 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 3966627816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931843840).

3966627816 is an abundant number, since it is smaller than the sum of its proper divisors (7897059864).

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

3966627816 is a wasteful number, since it uses less digits than its factorization.

3966627816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1137 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3966627816 is about 62981.1703289166. The cubic root of 3966627816 is about 1582.9741310465.

The spelling of 3966627816 in words is "three billion, nine hundred sixty-six million, six hundred twenty-seven thousand, eight hundred sixteen".