38121331778700 has 288 divisors, whose sum is σ = 118021721126400. Its totient is φ = 9466987622400.

The previous prime is 38121331778689. The next prime is 38121331778701. The reversal of 38121331778700 is 787713312183.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (38121331778701) 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 95 ways as a sum of consecutive naturals, for example, 183593139 + ... + 183800661.

It is an arithmetic number, because the mean of its divisors is an integer number (409797642800).

Almost surely, 2^{38121331778700} is an apocalyptic number.

38121331778700 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 38121331778700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59010860563200).

38121331778700 is an abundant number, since it is smaller than the sum of its proper divisors (79900389347700).

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

38121331778700 is a wasteful number, since it uses less digits than its factorization.

38121331778700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207937 (or 207930 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 38121331778700 in words is "thirty-eight trillion, one hundred twenty-one billion, three hundred thirty-one million, seven hundred seventy-eight thousand, seven hundred".