38789172000 has 768 divisors, whose sum is σ = 153807413760. Its totient is φ = 9455616000.

The previous prime is 38789171947. The next prime is 38789172001. The reversal of 38789172000 is 27198783.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38789172001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67931715 + ... + 67932285.

It is an arithmetic number, because the mean of its divisors is an integer number (200270070).

Almost surely, 2^38789172000 is an apocalyptic number.

38789172000 is a gapful number since it is divisible by the number (30) 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 38789172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76903706880).

38789172000 is an abundant number, since it is smaller than the sum of its proper divisors (115018241760).

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

38789172000 is a wasteful number, since it uses less digits than its factorization.

38789172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 38789172000 in words is "thirty-eight billion, seven hundred eighty-nine million, one hundred seventy-two thousand".