38648923632 has 960 divisors, whose sum is σ = 141350952960. Its totient is φ = 10036224000.

The previous prime is 38648923631. The next prime is 38648923637. The reversal of 38648923632 is 23632984683.

38648923632 is a `hidden beast` number, since 3 + 86 + 489 + 23 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (38648923631) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 633588882 + ... + 633588942.

It is an arithmetic number, because the mean of its divisors is an integer number (147240576).

Almost surely, 2^38648923632 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 38648923632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70675476480).

38648923632 is an abundant number, since it is smaller than the sum of its proper divisors (102702029328).

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

38648923632 is a wasteful number, since it uses less digits than its factorization.

38648923632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 38648923632 in words is "thirty-eight billion, six hundred forty-eight million, nine hundred twenty-three thousand, six hundred thirty-two".