38286216 has 96 divisors (see below), whose sum is σ = 112471200. Its totient is φ = 12065760.

The previous prime is 38286187. The next prime is 38286217. The reversal of 38286216 is 61268283.

38286216 is a `hidden beast` number, since 3 + 8 + 28 + 621 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38286217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77731 + ... + 78221.

It is an arithmetic number, because the mean of its divisors is an integer number (1171575).

Almost surely, 2^38286216 is an apocalyptic number.

38286216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38286216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56235600).

38286216 is an abundant number, since it is smaller than the sum of its proper divisors (74184984).

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

38286216 is a wasteful number, since it uses less digits than its factorization.

38286216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 515 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 38286216 is about 6187.5856357710. The cubic root of 38286216 is about 337.0395102587.

The spelling of 38286216 in words is "thirty-eight million, two hundred eighty-six thousand, two hundred sixteen".