38379146383728 has 40 divisors (see below), whose sum is σ = 110162364621200. Its totient is φ = 12793048794432.

The previous prime is 38379146383727. The next prime is 38379146383759. The reversal of 38379146383728 is 82738364197383.

It is a happy number.

38379146383728 is a `hidden beast` number, since 3 + 8 + 3 + 7 + 91 + 463 + 8 + 3 + 72 + 8 = 666.

38379146383728 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 3×38379146383728³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38379146383727) 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 7 ways as a sum of consecutive naturals, for example, 44420307883 + ... + 44420308746.

It is an arithmetic number, because the mean of its divisors is an integer number (2754059115530).

Almost surely, 2^{38379146383728} is an apocalyptic number.

It is an amenable number.

38379146383728 is an abundant number, since it is smaller than the sum of its proper divisors (71783218237472).

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

38379146383728 is a wasteful number, since it uses less digits than its factorization.

38379146383728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88840616646 (or 88840616634 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 38379146383728 in words is "thirty-eight trillion, three hundred seventy-nine billion, one hundred forty-six million, three hundred eighty-three thousand, seven hundred twenty-eight".