38660364288 has 720 divisors, whose sum is σ = 143630126640. Its totient is φ = 10144382976.

The previous prime is 38660364257. The next prime is 38660364299. The reversal of 38660364288 is 88246306683.

It is a happy number.

38660364288 is a `hidden beast` number, since 3 + 8 + 6 + 603 + 6 + 4 + 28 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 196245406 + ... + 196245602.

It is an arithmetic number, because the mean of its divisors is an integer number (199486287).

Almost surely, 2^38660364288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38660364288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71815063320).

38660364288 is an abundant number, since it is smaller than the sum of its proper divisors (104969762352).

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

38660364288 is a wasteful number, since it uses less digits than its factorization.

38660364288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 38660364288 in words is "thirty-eight billion, six hundred sixty million, three hundred sixty-four thousand, two hundred eighty-eight".