38787586992 has 640 divisors, whose sum is σ = 144633600000. Its totient is φ = 9862594560.

The previous prime is 38787586979. The next prime is 38787587009. The reversal of 38787586992 is 29968578783.

38787586992 is a `hidden beast` number, since 38 + 7 + 8 + 7 + 586 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 38787586992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86386384 + ... + 86386832.

It is an arithmetic number, because the mean of its divisors is an integer number (225990000).

Almost surely, 2^38787586992 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 38787586992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72316800000).

38787586992 is an abundant number, since it is smaller than the sum of its proper divisors (105846013008).

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

38787586992 is a wasteful number, since it uses less digits than its factorization.

38787586992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 525 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 38787586992 in words is "thirty-eight billion, seven hundred eighty-seven million, five hundred eighty-six thousand, nine hundred ninety-two".