38667936 has 48 divisors (see below), whose sum is σ = 102078144. Its totient is φ = 12816384.

The previous prime is 38667931. The next prime is 38667953. The reversal of 38667936 is 63976683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38667931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17485 + ... + 19571.

It is an arithmetic number, because the mean of its divisors is an integer number (2126628).

Almost surely, 2^38667936 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 38667936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51039072).

38667936 is an abundant number, since it is smaller than the sum of its proper divisors (63410208).

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

38667936 is a wasteful number, since it uses less digits than its factorization.

38667936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2285 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 38667936 is about 6218.3547663349. The cubic root of 38667936 is about 338.1559216656.

The spelling of 38667936 in words is "thirty-eight million, six hundred sixty-seven thousand, nine hundred thirty-six".