38164224 has 144 divisors (see below), whose sum is σ = 120350720. Its totient is φ = 10506240.

The previous prime is 38164211. The next prime is 38164253. The reversal of 38164224 is 42246183.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38164191 and 38164200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166542 + ... + 166770.

Almost surely, 2^38164224 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 38164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60175360).

38164224 is an abundant number, since it is smaller than the sum of its proper divisors (82186496).

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

38164224 is a wasteful number, since it uses less digits than its factorization.

38164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 38164224 is about 6177.7199677551. The cubic root of 38164224 is about 336.6811578683.

The spelling of 38164224 in words is "thirty-eight million, one hundred sixty-four thousand, two hundred twenty-four".