3805727846400 has 2340 divisors, whose sum is σ = 15732880156224. Its totient is φ = 907739136000.

The previous prime is 3805727846281. The next prime is 3805727846411. The reversal of 3805727846400 is 46487275083.

3805727846400 is a `hidden beast` number, since 3 + 8 + 0 + 572 + 7 + 8 + 4 + 64 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 92822630380 + ... + 92822630420.

Almost surely, 2^{3805727846400} is an apocalyptic number.

3805727846400 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 3805727846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7866440078112).

3805727846400 is an abundant number, since it is smaller than the sum of its proper divisors (11927152309824).

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

3805727846400 is a wasteful number, since it uses less digits than its factorization.

3805727846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 3805727846400 in words is "three trillion, eight hundred five billion, seven hundred twenty-seven million, eight hundred forty-six thousand, four hundred".