3864677876820 has 192 divisors, whose sum is σ = 12964945593600. Its totient is φ = 952526407680.

The previous prime is 3864677876797. The next prime is 3864677876827. The reversal of 3864677876820 is 286787764683.

3864677876820 is a `hidden beast` number, since 3 + 8 + 6 + 467 + 7 + 87 + 6 + 82 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864677876827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4172929 + ... + 5014248.

It is an arithmetic number, because the mean of its divisors is an integer number (67525758300).

Almost surely, 2^{3864677876820} is an apocalyptic number.

3864677876820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3864677876820 is an abundant number, since it is smaller than the sum of its proper divisors (9100267716780).

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

3864677876820 is a wasteful number, since it uses less digits than its factorization.

3864677876820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9187255 (or 9187247 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 3864677876820 in words is "three trillion, eight hundred sixty-four billion, six hundred seventy-seven million, eight hundred seventy-six thousand, eight hundred twenty".