38531696760 has 640 divisors, whose sum is σ = 143462246400. Its totient is φ = 9237888000.

The previous prime is 38531696747. The next prime is 38531696767. The reversal of 38531696760 is 6769613583.

38531696760 is a `hidden beast` number, since 38 + 531 + 6 + 9 + 6 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38531696697 and 38531696706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38531696767) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 116409795 + ... + 116410125.

It is an arithmetic number, because the mean of its divisors is an integer number (224159760).

Almost surely, 2^38531696760 is an apocalyptic number.

38531696760 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 38531696760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71731123200).

38531696760 is an abundant number, since it is smaller than the sum of its proper divisors (104930549640).

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

38531696760 is a wasteful number, since it uses less digits than its factorization.

38531696760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 38531696760 in words is "thirty-eight billion, five hundred thirty-one million, six hundred ninety-six thousand, seven hundred sixty".