38007831772820 has 144 divisors (see below), whose sum is σ = 100006427960208. Its totient is φ = 12026856038400.

The previous prime is 38007831772819. The next prime is 38007831772877. The reversal of 38007831772820 is 2827713870083.

38007831772820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7652271843076 + 30355559929744 = 2766274^2 + 5509588^2 .

It is a congruent number.

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, 77482244 + ... + 77971236.

It is an arithmetic number, because the mean of its divisors is an integer number (694489083057).

Almost surely, 2^{38007831772820} 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 38007831772820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50003213980104).

38007831772820 is an abundant number, since it is smaller than the sum of its proper divisors (61998596187388).

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

38007831772820 is a wasteful number, since it uses less digits than its factorization.

38007831772820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495130 (or 495121 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 56.

The spelling of 38007831772820 in words is "thirty-eight trillion, seven billion, eight hundred thirty-one million, seven hundred seventy-two thousand, eight hundred twenty".