38517864 has 128 divisors (see below), whose sum is σ = 126489600. Its totient is φ = 9469440.

The previous prime is 38517859. The next prime is 38517881. The reversal of 38517864 is 46871583.

38517864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34564 + ... + 35660.

It is an arithmetic number, because the mean of its divisors is an integer number (988200).

Almost surely, 2^38517864 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 38517864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63244800).

38517864 is an abundant number, since it is smaller than the sum of its proper divisors (87971736).

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

38517864 is a wasteful number, since it uses less digits than its factorization.

38517864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1139 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 38517864 is about 6206.2761781925. The cubic root of 38517864 is about 337.7178883830.

The spelling of 38517864 in words is "thirty-eight million, five hundred seventeen thousand, eight hundred sixty-four".