3864088487664 has 200 divisors, whose sum is σ = 11212398275760. Its totient is φ = 1284739771392.

The previous prime is 3864088487641. The next prime is 3864088487669. The reversal of 3864088487664 is 4667848804683.

3864088487664 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 0 + 88 + 487 + 6 + 64 = 666.

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 = 3864088487592 and 3864088487601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864088487669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1094951052 + ... + 1094954580.

Almost surely, 2^{3864088487664} 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 3864088487664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606199137880).

3864088487664 is an abundant number, since it is smaller than the sum of its proper divisors (7348309788096).

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

3864088487664 is a wasteful number, since it uses less digits than its factorization.

3864088487664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 1189085184, while the sum is 72.

The spelling of 3864088487664 in words is "three trillion, eight hundred sixty-four billion, eighty-eight million, four hundred eighty-seven thousand, six hundred sixty-four".