38531877552 has 900 divisors, whose sum is σ = 143774089536. Its totient is φ = 9915333120.

The previous prime is 38531877551. The next prime is 38531877569. The reversal of 38531877552 is 25577813583.

38531877552 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 1 + 87 + 7 + 552 = 666.

38531877552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38531877551) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1041402078 + ... + 1041402114.

Almost surely, 2^38531877552 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 38531877552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71887044768).

38531877552 is an abundant number, since it is smaller than the sum of its proper divisors (105242211984).

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

38531877552 is a wasteful number, since it uses less digits than its factorization.

38531877552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 103 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The spelling of 38531877552 in words is "thirty-eight billion, five hundred thirty-one million, eight hundred seventy-seven thousand, five hundred fifty-two".