38289604608000 has 800 divisors, whose sum is σ = 142785992863800. Its totient is φ = 10209145651200.

The previous prime is 38289604607929. The next prime is 38289604608001. The reversal of 38289604608000 is 80640698283.

38289604608000 is a `hidden beast` number, since 3 + 8 + 28 + 9 + 6 + 0 + 4 + 608 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17855154487296 + 20434450120704 = 4225536^2 + 4520448^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38289604608001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5308412394 + ... + 5308419606.

Almost surely, 2^{38289604608000} is an apocalyptic number.

38289604608000 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 38289604608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71392996431900).

38289604608000 is an abundant number, since it is smaller than the sum of its proper divisors (104496388255800).

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

38289604608000 is an frugal number, since it uses more digits than its factorization.

38289604608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 38289604608000 in words is "thirty-eight trillion, two hundred eighty-nine billion, six hundred four million, six hundred eight thousand".