38094061329 has 81 divisors (see below), whose sum is σ = 60522808593. Its totient is φ = 23083974144.

The previous prime is 38094061307. The next prime is 38094061333. The reversal of 38094061329 is 92316049083.

It is a happy number.

The square root of 38094061329 is 195177.

It is a perfect power (a square), and thus also a powerful number.

38094061329 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 4 + 0 + 613 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50339025 + 38043722304 = 7095^2 + 195048^2 .

It is a de Polignac number, because none of the positive numbers 2^k-38094061329 is a prime.

It is a super-2 number, since 2×38094061329² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38094061339) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 428023117 + ... + 428023205.

Almost surely, 2^38094061329 is an apocalyptic number.

38094061329 is the 195177-th square number.

38094061329 is the 97589-th centered octagonal number.

It is an amenable number.

38094061329 is a deficient number, since it is larger than the sum of its proper divisors (22428747264).

38094061329 is an equidigital number, since it uses as much as digits as its factorization.

38094061329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 38094061329 in words is "thirty-eight billion, ninety-four million, sixty-one thousand, three hundred twenty-nine".