38826216 has 160 divisors (see below), whose sum is σ = 128066400. Its totient is φ = 10834560.

The previous prime is 38826199. The next prime is 38826223. The reversal of 38826216 is 61262883.

38826216 is a `hidden beast` number, since 388 + 262 + 16 = 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92455 + ... + 92873.

It is an arithmetic number, because the mean of its divisors is an integer number (800415).

Almost surely, 2^38826216 is an apocalyptic number.

38826216 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 38826216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64033200).

38826216 is an abundant number, since it is smaller than the sum of its proper divisors (89240184).

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

38826216 is a wasteful number, since it uses less digits than its factorization.

38826216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

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

The square root of 38826216 is about 6231.0686081923. The cubic root of 38826216 is about 338.6166863299.

The spelling of 38826216 in words is "thirty-eight million, eight hundred twenty-six thousand, two hundred sixteen".