38540844316800 has 2016 divisors, whose sum is σ = 166705693634880. Its totient is φ = 8800374159360.

The previous prime is 38540844316699. The next prime is 38540844316853. The reversal of 38540844316800 is 861344804583.

It is a happy number.

38540844316800 is a `hidden beast` number, since 3 + 8 + 54 + 0 + 84 + 431 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 39207369109 + ... + 39207370091.

Almost surely, 2^{38540844316800} is an apocalyptic number.

38540844316800 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 38540844316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83352846817440).

38540844316800 is an abundant number, since it is smaller than the sum of its proper divisors (128164849318080).

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

38540844316800 is an frugal number, since it uses more digits than its factorization.

38540844316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 38540844316800 in words is "thirty-eight trillion, five hundred forty billion, eight hundred forty-four million, three hundred sixteen thousand, eight hundred".