3864484117368 has 256 divisors, whose sum is σ = 12306438144000. Its totient is φ = 1100702131200.

The previous prime is 3864484117357. The next prime is 3864484117427. The reversal of 3864484117368 is 8637114844683.

3864484117368 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 484 + 117 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1025332188 + ... + 1025335956.

It is an arithmetic number, because the mean of its divisors is an integer number (48072024000).

Almost surely, 2^{3864484117368} 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 3864484117368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153219072000).

3864484117368 is an abundant number, since it is smaller than the sum of its proper divisors (8441954026632).

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

3864484117368 is a wasteful number, since it uses less digits than its factorization.

3864484117368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5713 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 3864484117368 in words is "three trillion, eight hundred sixty-four billion, four hundred eighty-four million, one hundred seventeen thousand, three hundred sixty-eight".