3965782016 has 96 divisors (see below), whose sum is σ = 9375912000. Its totient is φ = 1640841216.

The previous prime is 3965782003. The next prime is 3965782019. The reversal of 3965782016 is 6102875693.

It is not an unprimeable number, because it can be changed into a prime (3965782019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410975 + ... + 420513.

It is an arithmetic number, because the mean of its divisors is an integer number (97665750).

Almost surely, 2^3965782016 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 3965782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687956000).

3965782016 is an abundant number, since it is smaller than the sum of its proper divisors (5410129984).

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

3965782016 is an equidigital number, since it uses as much as digits as its factorization.

3965782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597 (or 9577 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 3965782016 is about 62974.4552656075. The cubic root of 3965782016 is about 1582.8616110626.

The spelling of 3965782016 in words is "three billion, nine hundred sixty-five million, seven hundred eighty-two thousand, sixteen".