38384357760 has 1344 divisors, whose sum is σ = 169289261280. Its totient is φ = 8277147648.

The previous prime is 38384357677. The next prime is 38384357771. The reversal of 38384357760 is 6775348383.

38384357760 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 4 + 3 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 38384357697 and 38384357706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 525813084 + ... + 525813156.

Almost surely, 2^38384357760 is an apocalyptic number.

38384357760 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 38384357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84644630640).

38384357760 is an abundant number, since it is smaller than the sum of its proper divisors (130904903520).

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

38384357760 is an equidigital number, since it uses as much as digits as its factorization.

38384357760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 38384357760 in words is "thirty-eight billion, three hundred eighty-four million, three hundred fifty-seven thousand, seven hundred sixty".