38172064 has 48 divisors (see below), whose sum is σ = 90417600. Its totient is φ = 15496704.

The previous prime is 38172047. The next prime is 38172077. The reversal of 38172064 is 46027183.

It is an unprimeable number.

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, 229 + ... + 8740.

It is an arithmetic number, because the mean of its divisors is an integer number (1883700).

Almost surely, 2^38172064 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 38172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45208800).

38172064 is an abundant number, since it is smaller than the sum of its proper divisors (52245536).

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

38172064 is a wasteful number, since it uses less digits than its factorization.

38172064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 38172064 is about 6178.3544734824. The cubic root of 38172064 is about 336.7042108682.

The spelling of 38172064 in words is "thirty-eight million, one hundred seventy-two thousand, sixty-four".