38286108 has 144 divisors (see below), whose sum is σ = 121814784. Its totient is φ = 10264320.

The previous prime is 38286107. The next prime is 38286113. The reversal of 38286108 is 80168283.

38286108 is a `hidden beast` number, since 38 + 2 + 8 + 610 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38286107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115503 + ... + 115833.

It is an arithmetic number, because the mean of its divisors is an integer number (845936).

Almost surely, 2^38286108 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 38286108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60907392).

38286108 is an abundant number, since it is smaller than the sum of its proper divisors (83528676).

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

38286108 is a wasteful number, since it uses less digits than its factorization.

38286108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 38286108 is about 6187.5769086129. The cubic root of 38286108 is about 337.0391933448.

It can be divided in two parts, 38 and 286108, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 38286108 in words is "thirty-eight million, two hundred eighty-six thousand, one hundred eight".