38171633472 has 252 divisors, whose sum is σ = 127754769636. Its totient is φ = 10865111040.

The previous prime is 38171633429. The next prime is 38171633477. The reversal of 38171633472 is 27433617183.

38171633472 is a `hidden beast` number, since 3 + 8 + 1 + 7 + 1 + 633 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27217080576 + 10954552896 = 164976^2 + 104664^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38171633477) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7928538 + ... + 7933350.

Almost surely, 2^38171633472 is an apocalyptic number.

38171633472 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 38171633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63877384818).

38171633472 is an abundant number, since it is smaller than the sum of its proper divisors (89583136164).

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

38171633472 is a wasteful number, since it uses less digits than its factorization.

38171633472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126 (or 5106 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 38171633472 in words is "thirty-eight billion, one hundred seventy-one million, six hundred thirty-three thousand, four hundred seventy-two".