38879232000 has 576 divisors, whose sum is σ = 149182435584. Its totient is φ = 8808038400.

The previous prime is 38879231981. The next prime is 38879232013. The reversal of 38879232000 is 23297883.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344063944 + ... + 344064056.

It is an arithmetic number, because the mean of its divisors is an integer number (258997284).

Almost surely, 2^38879232000 is an apocalyptic number.

38879232000 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 38879232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74591217792).

38879232000 is an abundant number, since it is smaller than the sum of its proper divisors (110303203584).

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

38879232000 is an frugal number, since it uses more digits than its factorization.

38879232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 38879232000 in words is "thirty-eight billion, eight hundred seventy-nine million, two hundred thirty-two thousand".