3965165568000 has 2176 divisors, whose sum is σ = 18137374295040. Its totient is φ = 832359628800.

The previous prime is 3965165567933. The next prime is 3965165568019. The reversal of 3965165568000 is 8655615693.

It is a happy number.

3965165568000 is a `hidden beast` number, since 3 + 9 + 6 + 5 + 1 + 6 + 556 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20127743902 + ... + 20127744098.

Almost surely, 2^{3965165568000} is an apocalyptic number.

3965165568000 is a gapful number since it is divisible by the number (30) 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 3965165568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9068687147520).

3965165568000 is an abundant number, since it is smaller than the sum of its proper divisors (14172208727040).

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

3965165568000 is an equidigital number, since it uses as much as digits as its factorization.

3965165568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 3965165568000 in words is "three trillion, nine hundred sixty-five billion, one hundred sixty-five million, five hundred sixty-eight thousand".