38719627128 has 480 divisors, whose sum is σ = 143041021200. Its totient is φ = 9672348672.

The previous prime is 38719627117. The next prime is 38719627129. The reversal of 38719627128 is 82172691783.

It is a happy number.

38719627128 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 9 + 627 + 1 + 2 + 8 = 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 (38719627129) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7840276 + ... + 7845212.

Almost surely, 2^38719627128 is an apocalyptic number.

38719627128 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 38719627128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71520510600).

38719627128 is an abundant number, since it is smaller than the sum of its proper divisors (104321394072).

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

38719627128 is a wasteful number, since it uses less digits than its factorization.

38719627128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4981 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 38719627128 in words is "thirty-eight billion, seven hundred nineteen million, six hundred twenty-seven thousand, one hundred twenty-eight".