38810016000 has 1728 divisors, whose sum is σ = 178278137856. Its totient is φ = 8211456000.

The previous prime is 38810015983. The next prime is 38810016001. The reversal of 38810016000 is 61001883.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (38810016001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1251935985 + ... + 1251936015.

Almost surely, 2^38810016000 is an apocalyptic number.

38810016000 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 38810016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89139068928).

38810016000 is an abundant number, since it is smaller than the sum of its proper divisors (139468121856).

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

38810016000 is an equidigital number, since it uses as much as digits as its factorization.

38810016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 38810016000 its reverse (61001883), we get a palindrome (38871017883).

The spelling of 38810016000 in words is "thirty-eight billion, eight hundred ten million, sixteen thousand".