3965488512 has 256 divisors, whose sum is σ = 11548293120. Its totient is φ = 1202094080.

The previous prime is 3965488481. The next prime is 3965488519. The reversal of 3965488512 is 2158845693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3965488519) 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, 17019148 + ... + 17019380.

It is an arithmetic number, because the mean of its divisors is an integer number (45110520).

Almost surely, 2^3965488512 is an apocalyptic number.

3965488512 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 3965488512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774146560).

3965488512 is an abundant number, since it is smaller than the sum of its proper divisors (7582804608).

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

3965488512 is a wasteful number, since it uses less digits than its factorization.

3965488512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 3965488512 is about 62972.1248807756. The cubic root of 3965488512 is about 1582.8225613725.

The spelling of 3965488512 in words is "three billion, nine hundred sixty-five million, four hundred eighty-eight thousand, five hundred twelve".