38401375647672 has 128 divisors (see below), whose sum is σ = 112318352256000. Its totient is φ = 12123118368000.

The previous prime is 38401375647667. The next prime is 38401375647673. The reversal of 38401375647672 is 27674657310483.

38401375647672 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 1 + 3 + 7 + 564 + 7 + 67 + 2 = 666.

38401375647672 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 2×38401375647672² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401375647673) 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 31 ways as a sum of consecutive naturals, for example, 12320172 + ... + 15119172.

It is an arithmetic number, because the mean of its divisors is an integer number (877487127000).

Almost surely, 2^{38401375647672} 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 38401375647672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56159176128000).

38401375647672 is an abundant number, since it is smaller than the sum of its proper divisors (73916976608328).

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

38401375647672 is a wasteful number, since it uses less digits than its factorization.

38401375647672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802378 (or 2802368 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 38401375647672 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-five million, six hundred forty-seven thousand, six hundred seventy-two".