38096735728320 has 336 divisors, whose sum is σ = 135928092631968. Its totient is φ = 10156290416640.

The previous prime is 38096735728297. The next prime is 38096735728357. The reversal of 38096735728320 is 2382753769083.

38096735728320 is a `hidden beast` number, since 38 + 0 + 9 + 6 + 7 + 3 + 572 + 8 + 3 + 20 = 666.

It is a super-2 number, since 2×38096735728320² (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 285856900 + ... + 285990140.

It is an arithmetic number, because the mean of its divisors is an integer number (404547894738).

Almost surely, 2^{38096735728320} is an apocalyptic number.

38096735728320 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 38096735728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67964046315984).

38096735728320 is an abundant number, since it is smaller than the sum of its proper divisors (97831356903648).

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

38096735728320 is a wasteful number, since it uses less digits than its factorization.

38096735728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136950 (or 136928 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 38096735728320 in words is "thirty-eight trillion, ninety-six billion, seven hundred thirty-five million, seven hundred twenty-eight thousand, three hundred twenty".