3965585312 has 48 divisors (see below), whose sum is σ = 8435462112. Its totient is φ = 1824249600.

The previous prime is 3965585311. The next prime is 3965585329. The reversal of 3965585312 is 2135855693.

It is not an unprimeable number, because it can be changed into a prime (3965585311) 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, 112187 + ... + 143237.

It is an arithmetic number, because the mean of its divisors is an integer number (175738794).

Almost surely, 2^3965585312 is an apocalyptic number.

3965585312 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 3965585312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217731056).

3965585312 is an abundant number, since it is smaller than the sum of its proper divisors (4469876800).

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

3965585312 is a wasteful number, since it uses less digits than its factorization.

3965585312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31381 (or 31373 counting only the distinct ones).

The product of its digits is 972000, while the sum is 47.

The square root of 3965585312 is about 62972.8934701273. The cubic root of 3965585312 is about 1582.8354404900.

The spelling of 3965585312 in words is "three billion, nine hundred sixty-five million, five hundred eighty-five thousand, three hundred twelve".