3967283232 has 192 divisors, whose sum is σ = 12751240320. Its totient is φ = 1190016000.

The previous prime is 3967283209. The next prime is 3967283233. The reversal of 3967283232 is 2323827693.

3967283232 is a `hidden beast` number, since 396 + 7 + 28 + 3 + 232 = 666.

3967283232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3967283233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957838 + ... + 961970.

It is an arithmetic number, because the mean of its divisors is an integer number (66412710).

Almost surely, 2^3967283232 is an apocalyptic number.

3967283232 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 3967283232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375620160).

3967283232 is an abundant number, since it is smaller than the sum of its proper divisors (8783957088).

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

3967283232 is a wasteful number, since it uses less digits than its factorization.

3967283232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4250 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3967283232 is about 62986.3733834549. The cubic root of 3967283232 is about 1583.0613125252.

The spelling of 3967283232 in words is "three billion, nine hundred sixty-seven million, two hundred eighty-three thousand, two hundred thirty-two".