38970667008 has 312 divisors, whose sum is σ = 138557383328. Its totient is φ = 10277093376.

The previous prime is 38970666997. The next prime is 38970667031. The reversal of 38970667008 is 80076607983.

It is a tau number, because it is divible by the number of its divisors (312).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3348816 + ... + 3360432.

Almost surely, 2^38970667008 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 38970667008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69278691664).

38970667008 is an abundant number, since it is smaller than the sum of its proper divisors (99586716320).

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

38970667008 is a wasteful number, since it uses less digits than its factorization.

38970667008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11667 (or 11642 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 38970667008 in words is "thirty-eight billion, nine hundred seventy million, six hundred sixty-seven thousand, eight".