38385331488 has 576 divisors, whose sum is σ = 137894400000. Its totient is φ = 10336854528.

The previous prime is 38385331447. The next prime is 38385331519. The reversal of 38385331488 is 88413358383.

38385331488 is a `hidden beast` number, since 3 + 83 + 8 + 53 + 31 + 488 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 76924263 + ... + 76924761.

It is an arithmetic number, because the mean of its divisors is an integer number (239400000).

Almost surely, 2^38385331488 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 38385331488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200000).

38385331488 is an abundant number, since it is smaller than the sum of its proper divisors (99509068512).

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

38385331488 is a wasteful number, since it uses less digits than its factorization.

38385331488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 613 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 38385331488 in words is "thirty-eight billion, three hundred eighty-five million, three hundred thirty-one thousand, four hundred eighty-eight".