3873618358800 has 240 divisors, whose sum is σ = 12496447176192. Its totient is φ = 1025652326400.

The previous prime is 3873618358789. The next prime is 3873618358807. The reversal of 3873618358800 is 88538163783.

It is a Cunningham number, because it is equal to 1968151²-1.

It is a tau number, because it is divible by the number of its divisors (240).

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 (3873618358807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 295216240 + ... + 295229360.

Almost surely, 2^{3873618358800} is an apocalyptic number.

3873618358800 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 3873618358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6248223588096).

3873618358800 is an abundant number, since it is smaller than the sum of its proper divisors (8622828817392).

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

3873618358800 is a wasteful number, since it uses less digits than its factorization.

3873618358800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14866 (or 14855 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 3873618358800 in words is "three trillion, eight hundred seventy-three billion, six hundred eighteen million, three hundred fifty-eight thousand, eight hundred".