38446920000 has 560 divisors, whose sum is σ = 143083198720. Its totient is φ = 10119168000.

The previous prime is 38446919977. The next prime is 38446920013. The reversal of 38446920000 is 2964483.

It is a happy number.

38446920000 is a `hidden beast` number, since 3 + 8 + 446 + 9 + 200 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104759817 + ... + 104760183.

It is an arithmetic number, because the mean of its divisors is an integer number (255505712).

Almost surely, 2^38446920000 is an apocalyptic number.

38446920000 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 38446920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71541599360).

38446920000 is an abundant number, since it is smaller than the sum of its proper divisors (104636278720).

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

38446920000 is an equidigital number, since it uses as much as digits as its factorization.

38446920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 38446920000 in words is "thirty-eight billion, four hundred forty-six million, nine hundred twenty thousand".