38165216 has 48 divisors (see below), whose sum is σ = 78704640. Its totient is φ = 18195840.

The previous prime is 38165213. The next prime is 38165227. The reversal of 38165216 is 61256183.

It is a happy number.

It is a super-4 number, since 4×38165216⁴ (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38165213) 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, 78125 + ... + 78611.

It is an arithmetic number, because the mean of its divisors is an integer number (1639680).

Almost surely, 2^38165216 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 38165216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39352320).

38165216 is an abundant number, since it is smaller than the sum of its proper divisors (40539424).

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

38165216 is a wasteful number, since it uses less digits than its factorization.

38165216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 599 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 38165216 is about 6177.8002557545. The cubic root of 38165216 is about 336.6840749530.

The spelling of 38165216 in words is "thirty-eight million, one hundred sixty-five thousand, two hundred sixteen".