3966941952 has 216 divisors, whose sum is σ = 12145317184. Its totient is φ = 1290691584.

The previous prime is 3966941843. The next prime is 3966942019. The reversal of 3966941952 is 2591496693.

3966941952 is a `hidden beast` number, since 396 + 69 + 4 + 195 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2674203 + ... + 2675685.

Almost surely, 2^3966941952 is an apocalyptic number.

3966941952 is a gapful number since it is divisible by the number (32) 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 3966941952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072658592).

3966941952 is an abundant number, since it is smaller than the sum of its proper divisors (8178375232).

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

3966941952 is an equidigital number, since it uses as much as digits as its factorization.

3966941952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1531 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 3966941952 is about 62983.6641677824. The cubic root of 3966941952 is about 1583.0159176772.

The spelling of 3966941952 in words is "three billion, nine hundred sixty-six million, nine hundred forty-one thousand, nine hundred fifty-two".