38841136992 has 288 divisors, whose sum is σ = 133714264320. Its totient is φ = 10447211520.

The previous prime is 38841136991. The next prime is 38841137003. The reversal of 38841136992 is 29963114883.

38841136992 is a `hidden beast` number, since 3 + 88 + 411 + 3 + 69 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38841136991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6240442 + ... + 6246662.

It is an arithmetic number, because the mean of its divisors is an integer number (464285640).

Almost surely, 2^38841136992 is an apocalyptic number.

38841136992 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 38841136992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66857132160).

38841136992 is an abundant number, since it is smaller than the sum of its proper divisors (94873127328).

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

38841136992 is a wasteful number, since it uses less digits than its factorization.

38841136992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426 (or 6415 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 38841136992 in words is "thirty-eight billion, eight hundred forty-one million, one hundred thirty-six thousand, nine hundred ninety-two".