38291493744 has 800 divisors, whose sum is σ = 141708192000. Its totient is φ = 9857852928.

The previous prime is 38291493743. The next prime is 38291493829. The reversal of 38291493744 is 44739419283.

38291493744 is a `hidden beast` number, since 3 + 82 + 9 + 1 + 493 + 74 + 4 = 666.

38291493744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×38291493744³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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 (38291493743) 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, 571514799 + ... + 571514865.

It is an arithmetic number, because the mean of its divisors is an integer number (177135240).

Almost surely, 2^38291493744 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 38291493744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70854096000).

38291493744 is an abundant number, since it is smaller than the sum of its proper divisors (103416698256).

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

38291493744 is a wasteful number, since it uses less digits than its factorization.

38291493744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 127 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 38291493744 in words is "thirty-eight billion, two hundred ninety-one million, four hundred ninety-three thousand, seven hundred forty-four".