38438064 has 200 divisors, whose sum is σ = 134435840. Its totient is φ = 10357632.

The previous prime is 38438063. The next prime is 38438069. The reversal of 38438064 is 46083483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38438063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172257 + ... + 172479.

Almost surely, 2^38438064 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 38438064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67217920).

38438064 is an abundant number, since it is smaller than the sum of its proper divisors (95997776).

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

38438064 is a wasteful number, since it uses less digits than its factorization.

38438064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 38438064 is about 6199.8438690019. The cubic root of 38438064 is about 337.4845029921.

The spelling of 38438064 in words is "thirty-eight million, four hundred thirty-eight thousand, sixty-four".