3864673305120 has 48 divisors (see below), whose sum is σ = 12173720912640. Its totient is φ = 1030579547904.

The previous prime is 3864673305089. The next prime is 3864673305121. The reversal of 3864673305120 is 215033764683.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3864673305120³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3864673305120.

It is not an unprimeable number, because it can be changed into a prime (3864673305121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4025700880 + ... + 4025701839.

It is an arithmetic number, because the mean of its divisors is an integer number (253619185680).

Almost surely, 2^{3864673305120} is an apocalyptic number.

3864673305120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3864673305120 is an abundant number, since it is smaller than the sum of its proper divisors (8309047607520).

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

3864673305120 is a wasteful number, since it uses less digits than its factorization.

3864673305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8051402737 (or 8051402729 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 3864673305120 in words is "three trillion, eight hundred sixty-four billion, six hundred seventy-three million, three hundred five thousand, one hundred twenty".