38971946664 has 160 divisors (see below), whose sum is σ = 125475102720. Its totient is φ = 11070255744.

The previous prime is 38971946627. The next prime is 38971946669. The reversal of 38971946664 is 46664917983.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38971946669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 759897 + ... + 809559.

It is an arithmetic number, because the mean of its divisors is an integer number (784219392).

Almost surely, 2^38971946664 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 38971946664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62737551360).

38971946664 is an abundant number, since it is smaller than the sum of its proper divisors (86503156056).

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

38971946664 is a wasteful number, since it uses less digits than its factorization.

38971946664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49861 (or 49848 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 38971946664 in words is "thirty-eight billion, nine hundred seventy-one million, nine hundred forty-six thousand, six hundred sixty-four".