38171265792 has 144 divisors (see below), whose sum is σ = 117346465152. Its totient is φ = 10886594560.

The previous prime is 38171265757. The next prime is 38171265793. The reversal of 38171265792 is 29756217183.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (38171265793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10723 + ... + 276509.

It is an arithmetic number, because the mean of its divisors is an integer number (814906008).

Almost surely, 2^38171265792 is an apocalyptic number.

38171265792 is a gapful number since it is divisible by the number (32) 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 38171265792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58673232576).

38171265792 is an abundant number, since it is smaller than the sum of its proper divisors (79175199360).

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

38171265792 is a wasteful number, since it uses less digits than its factorization.

38171265792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265834 (or 265820 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The spelling of 38171265792 in words is "thirty-eight billion, one hundred seventy-one million, two hundred sixty-five thousand, seven hundred ninety-two".