3872894860800 has 600 divisors, whose sum is σ = 16381594720656. Its totient is φ = 885231452160.

The previous prime is 3872894860787. The next prime is 3872894860819. The reversal of 3872894860800 is 80684982783.

3872894860800 is a `hidden beast` number, since 3 + 8 + 72 + 8 + 9 + 486 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×3872894860800² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 6990784 + ... + 7524416.

Almost surely, 2^{3872894860800} is an apocalyptic number.

3872894860800 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 3872894860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190797360328).

3872894860800 is an abundant number, since it is smaller than the sum of its proper divisors (12508699859856).

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

3872894860800 is an equidigital number, since it uses as much as digits as its factorization.

3872894860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533680 (or 533650 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 3872894860800 in words is "three trillion, eight hundred seventy-two billion, eight hundred ninety-four million, eight hundred sixty thousand, eight hundred".