38172372768 has 384 divisors, whose sum is σ = 117437644800. Its totient is φ = 12052924416.

The previous prime is 38172372767. The next prime is 38172372779. The reversal of 38172372768 is 86727327183.

It is a happy number.

38172372768 is a `hidden beast` number, since 38 + 172 + 372 + 76 + 8 = 666.

It is a super-3 number, since 3×38172372768³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38172372761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234186255 + ... + 234186417.

It is an arithmetic number, because the mean of its divisors is an integer number (305827200).

Almost surely, 2^38172372768 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 38172372768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58718822400).

38172372768 is an abundant number, since it is smaller than the sum of its proper divisors (79265272032).

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

38172372768 is a wasteful number, since it uses less digits than its factorization.

38172372768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 38172372768 in words is "thirty-eight billion, one hundred seventy-two million, three hundred seventy-two thousand, seven hundred sixty-eight".