3965878272 has 64 divisors (see below), whose sum is σ = 10575776160. Its totient is φ = 1321926656.

The previous prime is 3965878249. The next prime is 3965878297. The reversal of 3965878272 is 2728785693.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78133 + ... + 118475.

Almost surely, 2^3965878272 is an apocalyptic number.

3965878272 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 3965878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287888080).

3965878272 is an abundant number, since it is smaller than the sum of its proper divisors (6609897888).

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

3965878272 is an frugal number, since it uses more digits than its factorization.

3965878272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40376 (or 40348 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The square root of 3965878272 is about 62975.2195073586. The cubic root of 3965878272 is about 1582.8744171703.

The spelling of 3965878272 in words is "three billion, nine hundred sixty-five million, eight hundred seventy-eight thousand, two hundred seventy-two".