38948667966 has 64 divisors (see below), whose sum is σ = 93540330240. Its totient is φ = 11941797600.

The previous prime is 38948667943. The next prime is 38948667971. The reversal of 38948667966 is 66976684983.

38948667966 is a `hidden beast` number, since 3 + 89 + 486 + 6 + 7 + 9 + 66 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38948667894 and 38948667903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100641 + ... + 296691.

It is an arithmetic number, because the mean of its divisors is an integer number (1461567660).

Almost surely, 2^38948667966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38948667966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46770165120).

38948667966 is an abundant number, since it is smaller than the sum of its proper divisors (54591662274).

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

38948667966 is a wasteful number, since it uses less digits than its factorization.

38948667966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196358 (or 196352 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 38948667966 in words is "thirty-eight billion, nine hundred forty-eight million, six hundred sixty-seven thousand, nine hundred sixty-six".