38182060800 has 864 divisors, whose sum is σ = 157548249600. Its totient is φ = 8977858560.

The previous prime is 38182060799. The next prime is 38182060837. The reversal of 38182060800 is 806028183.

38182060800 is a `hidden beast` number, since 38 + 18 + 2 + 0 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51666831 + ... + 51667569.

Almost surely, 2^38182060800 is an apocalyptic number.

38182060800 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 38182060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78774124800).

38182060800 is an abundant number, since it is smaller than the sum of its proper divisors (119366188800).

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

38182060800 is a wasteful number, since it uses less digits than its factorization.

38182060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 38182060800 its reverse (806028183), we get a palindrome (38988088983).

The spelling of 38182060800 in words is "thirty-eight billion, one hundred eighty-two million, sixty thousand, eight hundred".