38793006000 has 960 divisors, whose sum is σ = 164553217920. Its totient is φ = 8817984000.

The previous prime is 38793005987. The next prime is 38793006001. The reversal of 38793006000 is 60039783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38793006001) 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, 214325910 + ... + 214326090.

It is an arithmetic number, because the mean of its divisors is an integer number (171409602).

Almost surely, 2^38793006000 is an apocalyptic number.

38793006000 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 38793006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82276608960).

38793006000 is an abundant number, since it is smaller than the sum of its proper divisors (125760211920).

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

38793006000 is an equidigital number, since it uses as much as digits as its factorization.

38793006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 38793006000 in words is "thirty-eight billion, seven hundred ninety-three million, six thousand".