3813543892800 has 420 divisors, whose sum is σ = 14023690928940. Its totient is φ = 1016505262080.

The previous prime is 3813543892793. The next prime is 3813543892801. The reversal of 3813543892800 is 82983453183.

3813543892800 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 543 + 8 + 92 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23762839104 + 3789781053696 = 154152^2 + 1946736^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813543892801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 393590356 + ... + 393600044.

It is an arithmetic number, because the mean of its divisors is an integer number (33389740307).

Almost surely, 2^{3813543892800} is an apocalyptic number.

3813543892800 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 3813543892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011845464470).

3813543892800 is an abundant number, since it is smaller than the sum of its proper divisors (10210147036140).

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

3813543892800 is a wasteful number, since it uses less digits than its factorization.

3813543892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12760 (or 12736 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3813543892800 in words is "three trillion, eight hundred thirteen billion, five hundred forty-three million, eight hundred ninety-two thousand, eight hundred".