3864488068080 has 240 divisors, whose sum is σ = 13024887782400. Its totient is φ = 1026831048192.

The previous prime is 3864488068079. The next prime is 3864488068081. The reversal of 3864488068080 is 808608844683.

3864488068080 is a `hidden beast` number, since 38 + 6 + 448 + 8 + 0 + 6 + 80 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3864488068079) and next prime (3864488068081).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3864488067999 and 3864488068017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864488068081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339014221 + ... + 339025619.

It is an arithmetic number, because the mean of its divisors is an integer number (54270365760).

Almost surely, 2^{3864488068080} is an apocalyptic number.

3864488068080 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 3864488068080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6512443891200).

3864488068080 is an abundant number, since it is smaller than the sum of its proper divisors (9160399714320).

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

3864488068080 is a wasteful number, since it uses less digits than its factorization.

3864488068080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13068 (or 13059 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 3864488068080 in words is "three trillion, eight hundred sixty-four billion, four hundred eighty-eight million, sixty-eight thousand, eighty".