3864659420160 has 704 divisors, whose sum is σ = 17123332515840. Its totient is φ = 803043901440.

The previous prime is 3864659420147. The next prime is 3864659420177. The reversal of 3864659420160 is 610249564683.

3864659420160 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 6 + 59 + 420 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3864659420097 and 3864659420106.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10462947 + ... + 10826013.

Almost surely, 2^{3864659420160} is an apocalyptic number.

3864659420160 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 3864659420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8561666257920).

3864659420160 is an abundant number, since it is smaller than the sum of its proper divisors (13258673095680).

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

3864659420160 is a wasteful number, since it uses less digits than its factorization.

3864659420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363119 (or 363095 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3864659420160 in words is "three trillion, eight hundred sixty-four billion, six hundred fifty-nine million, four hundred twenty thousand, one hundred sixty".