38000981760 has 216 divisors, whose sum is σ = 141181132176. Its totient is φ = 8685895680.

The previous prime is 38000981743. The next prime is 38000981761. The reversal of 38000981760 is 6718900083.

It is a super-2 number, since 2×38000981760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38000981761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87180 + ... + 289140.

Almost surely, 2^38000981760 is an apocalyptic number.

38000981760 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 38000981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70590566088).

38000981760 is an abundant number, since it is smaller than the sum of its proper divisors (103180150416).

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

38000981760 is a wasteful number, since it uses less digits than its factorization.

38000981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201999 (or 201978 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 38000981760 in words is "thirty-eight billion, nine hundred eighty-one thousand, seven hundred sixty".