38054971264 has 128 divisors (see below), whose sum is σ = 80168719680. Its totient is φ = 17958420480.

The previous prime is 38054971249. The next prime is 38054971301. The reversal of 38054971264 is 46217945083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 129880302 + ... + 129880594.

It is a 1-persistent number, because it is pandigital, but 2⋅38054971264 = 76109942528 is not.

Almost surely, 2^38054971264 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 38054971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40084359840).

38054971264 is an abundant number, since it is smaller than the sum of its proper divisors (42113748416).

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

38054971264 is a wasteful number, since it uses less digits than its factorization.

38054971264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 38054971264 in words is "thirty-eight billion, fifty-four million, nine hundred seventy-one thousand, two hundred sixty-four".