38416068000 has 576 divisors, whose sum is σ = 145712286720. Its totient is φ = 9563904000.

The previous prime is 38416067981. The next prime is 38416068001. The reversal of 38416068000 is 86061483.

It is a happy number.

38416068000 is a `hidden beast` number, since 3 + 8 + 41 + 606 + 8 + 0 + 0 + 0 = 666.

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 (38416068001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 32363407 + ... + 32364593.

It is an arithmetic number, because the mean of its divisors is an integer number (252972720).

Almost surely, 2^38416068000 is an apocalyptic number.

38416068000 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 38416068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72856143360).

38416068000 is an abundant number, since it is smaller than the sum of its proper divisors (107296218720).

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

38416068000 is a wasteful number, since it uses less digits than its factorization.

38416068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 38416068000 in words is "thirty-eight billion, four hundred sixteen million, sixty-eight thousand".