3966050304 has 280 divisors, whose sum is σ = 12211232880. Its totient is φ = 1281982464.

The previous prime is 3966050293. The next prime is 3966050357. The reversal of 3966050304 is 4030506693.

3966050304 is a `hidden beast` number, since 3 + 96 + 60 + 503 + 0 + 4 = 666.

It is a super-3 number, since 3×3966050304³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28532667 + ... + 28532805.

It is an arithmetic number, because the mean of its divisors is an integer number (43611546).

Almost surely, 2^3966050304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3966050304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105616440).

3966050304 is an abundant number, since it is smaller than the sum of its proper divisors (8245182576).

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

3966050304 is an equidigital number, since it uses as much as digits as its factorization.

3966050304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3966050304 is about 62976.5853631332. The cubic root of 3966050304 is about 1582.8973041658.

Adding to 3966050304 its reverse (4030506693), we get a palindrome (7996556997).

The spelling of 3966050304 in words is "three billion, nine hundred sixty-six million, fifty thousand, three hundred four".