38871544481900 has 144 divisors (see below), whose sum is σ = 92806225854720. Its totient is φ = 14044716576000.

The previous prime is 38871544481897. The next prime is 38871544481923. The reversal of 38871544481900 is 918444517883.

38871544481900 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 2×38871544481900² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11674331 + ... + 14629869.

Almost surely, 2^{38871544481900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38871544481900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46403112927360).

38871544481900 is an abundant number, since it is smaller than the sum of its proper divisors (53934681372820).

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

38871544481900 is a wasteful number, since it uses less digits than its factorization.

38871544481900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955784 (or 2955777 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 62.

The spelling of 38871544481900 in words is "thirty-eight trillion, eight hundred seventy-one billion, five hundred forty-four million, four hundred eighty-one thousand, nine hundred".