38085633 has 48 divisors (see below), whose sum is σ = 61414080. Its totient is φ = 23514624.

The previous prime is 38085611. The next prime is 38085637. The reversal of 38085633 is 33658083.

It is not a de Polignac number, because 38085633 - 2⁶ = 38085569 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38085637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336985 + ... + 337097.

It is an arithmetic number, because the mean of its divisors is an integer number (1279460).

Almost surely, 2^38085633 is an apocalyptic number.

It is an amenable number.

38085633 is a deficient number, since it is larger than the sum of its proper divisors (23328447).

38085633 is a wasteful number, since it uses less digits than its factorization.

38085633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 38085633 is about 6171.3558477858. The cubic root of 38085633 is about 336.4498916031.

The spelling of 38085633 in words is "thirty-eight million, eighty-five thousand, six hundred thirty-three".