3864466788680 has 128 divisors (see below), whose sum is σ = 9090109163520. Its totient is φ = 1475809505280.

The previous prime is 3864466788653. The next prime is 3864466788727. The reversal of 3864466788680 is 868876644683.

It is a happy number.

It is a super-2 number, since 2×3864466788680² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3864466788598 and 3864466788607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2119838249 + ... + 2119840071.

It is an arithmetic number, because the mean of its divisors is an integer number (71016477840).

Almost surely, 2^{3864466788680} 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 3864466788680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545054581760).

3864466788680 is an abundant number, since it is smaller than the sum of its proper divisors (5225642374840).

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

3864466788680 is a wasteful number, since it uses less digits than its factorization.

3864466788680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 1783627776, while the sum is 74.

The spelling of 3864466788680 in words is "three trillion, eight hundred sixty-four billion, four hundred sixty-six million, seven hundred eighty-eight thousand, six hundred eighty".