38264144688 has 1080 divisors, whose sum is σ = 153284564160. Its totient is φ = 9111916800.

The previous prime is 38264144687. The next prime is 38264144717. The reversal of 38264144688 is 88644146283.

It is a happy number.

38264144688 is a `hidden beast` number, since 3 + 82 + 6 + 41 + 446 + 88 = 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 not an unprimeable number, because it can be changed into a prime (38264144687) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1234327233 + ... + 1234327263.

It is an arithmetic number, because the mean of its divisors is an integer number (141930152).

Almost surely, 2^38264144688 is an apocalyptic number.

38264144688 is a gapful number since it is divisible by the number (38) 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 38264144688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76642282080).

38264144688 is an abundant number, since it is smaller than the sum of its proper divisors (115020419472).

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

38264144688 is a wasteful number, since it uses less digits than its factorization.

38264144688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 73 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 38264144688 in words is "thirty-eight billion, two hundred sixty-four million, one hundred forty-four thousand, six hundred eighty-eight".