3965286312 has 160 divisors (see below), whose sum is σ = 12664852200. Its totient is φ = 1148276736.

The previous prime is 3965286307. The next prime is 3965286317. The reversal of 3965286312 is 2136825693.

3965286312 is a `hidden beast` number, since 3 + 9 + 6 + 5 + 2 + 8 + 631 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3965286307) and next prime (3965286317).

It can be written as a sum of positive squares in 4 ways, for example, as 2349728676 + 1615557636 = 48474^2 + 40194^2 .

It is a super-2 number, since 2×3965286312² = 31446991072269122688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3965286317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 129364 + ... + 157052.

Almost surely, 2^3965286312 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 3965286312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332426100).

3965286312 is an abundant number, since it is smaller than the sum of its proper divisors (8699565888).

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

3965286312 is a wasteful number, since it uses less digits than its factorization.

3965286312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27737 (or 27724 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 3965286312 is about 62970.5193880438. The cubic root of 3965286312 is about 1582.7956582423.

The spelling of 3965286312 in words is "three billion, nine hundred sixty-five million, two hundred eighty-six thousand, three hundred twelve".