38506368 has 64 divisors (see below), whose sum is σ = 103122000. Its totient is φ = 12730368.

The previous prime is 38506361. The next prime is 38506373. The reversal of 38506368 is 86360583.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38506361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56880 + ... + 57552.

Almost surely, 2^38506368 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 38506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51561000).

38506368 is an abundant number, since it is smaller than the sum of its proper divisors (64615632).

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

38506368 is a wasteful number, since it uses less digits than its factorization.

38506368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 38506368 is about 6205.3499498417. The cubic root of 38506368 is about 337.6842867347.

The spelling of 38506368 in words is "thirty-eight million, five hundred six thousand, three hundred sixty-eight".