38671729241600 has 240 divisors, whose sum is σ = 117922748690208. Its totient is φ = 12238964490240.

The previous prime is 38671729241591. The next prime is 38671729241603. The reversal of 38671729241600 is 614292717683.

38671729241600 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-2 number, since 2×38671729241600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38671729241603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15435359 + ... + 17764958.

Almost surely, 2^{38671729241600} is an apocalyptic number.

It is an amenable number.

38671729241600 is an abundant number, since it is smaller than the sum of its proper divisors (79251019448608).

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

38671729241600 is a wasteful number, since it uses less digits than its factorization.

38671729241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33200365 (or 33200344 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 56.

The spelling of 38671729241600 in words is "thirty-eight trillion, six hundred seventy-one billion, seven hundred twenty-nine million, two hundred forty-one thousand, six hundred".