3854678284800 has 1440 divisors, whose sum is σ = 16879783624704. Its totient is φ = 852498432000.

The previous prime is 3854678284781. The next prime is 3854678284817. The reversal of 3854678284800 is 84828764583.

3854678284800 is a `hidden beast` number, since 3 + 8 + 546 + 7 + 8 + 2 + 8 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3854678284800² (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 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 143 ways as a sum of consecutive naturals, for example, 674953945 + ... + 674959655.

Almost surely, 2^{3854678284800} is an apocalyptic number.

3854678284800 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 3854678284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439891812352).

3854678284800 is an abundant number, since it is smaller than the sum of its proper divisors (13025105339904).

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

3854678284800 is an equidigital number, since it uses as much as digits as its factorization.

3854678284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 3854678284800 in words is "three trillion, eight hundred fifty-four billion, six hundred seventy-eight million, two hundred eighty-four thousand, eight hundred".