38811334900 has 144 divisors (see below), whose sum is σ = 96580693440. Its totient is φ = 13410662400.

The previous prime is 38811334873. The next prime is 38811334909. The reversal of 38811334900 is 943311883.

38811334900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38811334909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3950995 + ... + 3960805.

It is an arithmetic number, because the mean of its divisors is an integer number (670699260).

Almost surely, 2^38811334900 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 38811334900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48290346720).

38811334900 is an abundant number, since it is smaller than the sum of its proper divisors (57769358540).

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

38811334900 is a wasteful number, since it uses less digits than its factorization.

38811334900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10034 (or 10027 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 38811334900 in words is "thirty-eight billion, eight hundred eleven million, three hundred thirty-four thousand, nine hundred".