38781130752 has 720 divisors, whose sum is σ = 145509043680. Its totient is φ = 10200121344.

The previous prime is 38781130733. The next prime is 38781130757. The reversal of 38781130752 is 25703118783.

It is a super-2 number, since 2×38781130752² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38781130698 and 38781130707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38781130757) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105670473 + ... + 105670839.

It is an arithmetic number, because the mean of its divisors is an integer number (202095894).

Almost surely, 2^38781130752 is an apocalyptic number.

38781130752 is a gapful number since it is divisible by the number (32) 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 38781130752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72754521840).

38781130752 is an abundant number, since it is smaller than the sum of its proper divisors (106727912928).

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

38781130752 is a wasteful number, since it uses less digits than its factorization.

38781130752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 38781130752 in words is "thirty-eight billion, seven hundred eighty-one million, one hundred thirty thousand, seven hundred fifty-two".