3864199996800 has 4608 divisors, whose sum is σ = 18562811904000. Its totient is φ = 779341824000.

The previous prime is 3864199996759. The next prime is 3864199996807. The reversal of 3864199996800 is 86999914683.

3864199996800 is a `hidden beast` number, since 38 + 6 + 419 + 99 + 96 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864199996807) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 65494915171 + ... + 65494915229.

It is an arithmetic number, because the mean of its divisors is an integer number (4028388000).

Almost surely, 2^{3864199996800} is an apocalyptic number.

3864199996800 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 3864199996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9281405952000).

3864199996800 is an abundant number, since it is smaller than the sum of its proper divisors (14698611907200).

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

3864199996800 is a wasteful number, since it uses less digits than its factorization.

3864199996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 3864199996800 in words is "three trillion, eight hundred sixty-four billion, one hundred ninety-nine million, nine hundred ninety-six thousand, eight hundred".