3665453395968 has 1248 divisors, whose sum is σ = 13846747891200. Its totient is φ = 933060280320.

The previous prime is 3665453395939. The next prime is 3665453396023. The reversal of 3665453395968 is 8695933545663.

3665453395968 is a `hidden beast` number, since 3 + 6 + 65 + 453 + 3 + 9 + 59 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-3 number, since 3×3665453395968³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3665453395896 and 3665453395905.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9671380803 + ... + 9671381181.

Almost surely, 2^{3665453395968} 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 3665453395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923373945600).

3665453395968 is an abundant number, since it is smaller than the sum of its proper divisors (10181294495232).

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

3665453395968 is a wasteful number, since it uses less digits than its factorization.

3665453395968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 435 counting only the distinct ones).

The product of its digits is 1889568000, while the sum is 72.

The spelling of 3665453395968 in words is "three trillion, six hundred sixty-five billion, four hundred fifty-three million, three hundred ninety-five thousand, nine hundred sixty-eight".