38712826800 has 480 divisors, whose sum is σ = 146853100800. Its totient is φ = 9657999360.

The previous prime is 38712826783. The next prime is 38712826807. The reversal of 38712826800 is 862821783.

38712826800 is a `hidden beast` number, since 387 + 1 + 2 + 8 + 268 + 0 + 0 = 666.

38712826800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38712826807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17030464 + ... + 17032736.

It is an arithmetic number, because the mean of its divisors is an integer number (305943960).

Almost surely, 2^38712826800 is an apocalyptic number.

38712826800 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 38712826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73426550400).

38712826800 is an abundant number, since it is smaller than the sum of its proper divisors (108140274000).

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

38712826800 is a wasteful number, since it uses less digits than its factorization.

38712826800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 38712826800 in words is "thirty-eight billion, seven hundred twelve million, eight hundred twenty-six thousand, eight hundred".