38948105376 has 144 divisors (see below), whose sum is σ = 114816199680. Its totient is φ = 12510650880.

The previous prime is 38948105369. The next prime is 38948105411. The reversal of 38948105376 is 67350184983.

38948105376 is a `hidden beast` number, since 3 + 8 + 94 + 8 + 10 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2124666 + ... + 2142918.

It is an arithmetic number, because the mean of its divisors is an integer number (797334720).

Almost surely, 2^38948105376 is an apocalyptic number.

38948105376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38948105376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57408099840).

38948105376 is an abundant number, since it is smaller than the sum of its proper divisors (75868094304).

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

38948105376 is a wasteful number, since it uses less digits than its factorization.

38948105376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18539 (or 18528 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 38948105376 in words is "thirty-eight billion, nine hundred forty-eight million, one hundred five thousand, three hundred seventy-six".