38208375445968 has 960 divisors, whose sum is σ = 137839407713280. Its totient is φ = 9608984985600.

The previous prime is 38208375445931. The next prime is 38208375446023. The reversal of 38208375445968 is 86954457380283.

38208375445968 is a `hidden beast` number, since 3 + 8 + 20 + 8 + 3 + 7 + 5 + 4 + 4 + 596 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38208375445896 and 38208375445905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13354900858 + ... + 13354903718.

It is an arithmetic number, because the mean of its divisors is an integer number (143582716368).

Almost surely, 2^{38208375445968} 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 38208375445968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68919703856640).

38208375445968 is an abundant number, since it is smaller than the sum of its proper divisors (99631032267312).

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

38208375445968 is a wasteful number, since it uses less digits than its factorization.

38208375445968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 38208375445968 in words is "thirty-eight trillion, two hundred eight billion, three hundred seventy-five million, four hundred forty-five thousand, nine hundred sixty-eight".