3873786806400 has 288 divisors, whose sum is σ = 14842435715280. Its totient is φ = 885436876800.

The previous prime is 3873786806389. The next prime is 3873786806401. The reversal of 3873786806400 is 46086873783.

3873786806400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3873786806400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3873786806401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3647146 + ... + 4587945.

Almost surely, 2^{3873786806400} is an apocalyptic number.

3873786806400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3873786806400 is an abundant number, since it is smaller than the sum of its proper divisors (10968648908880).

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

3873786806400 is a wasteful number, since it uses less digits than its factorization.

3873786806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235132 (or 8235108 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 3873786806400 in words is "three trillion, eight hundred seventy-three billion, seven hundred eighty-six million, eight hundred six thousand, four hundred".