38166336 has 112 divisors (see below), whose sum is σ = 120904000. Its totient is φ = 11736576.

The previous prime is 38166319. The next prime is 38166353. The reversal of 38166336 is 63366183.

38166336 is a `hidden beast` number, since 3 + 8 + 16 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (38166319) and next prime (38166353).

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 a self number, because there is not a number n which added to its sum of digits gives 38166336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21615 + ... + 23313.

It is an arithmetic number, because the mean of its divisors is an integer number (1079500).

Almost surely, 2^38166336 is an apocalyptic number.

38166336 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 38166336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60452000).

38166336 is an abundant number, since it is smaller than the sum of its proper divisors (82737664).

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

38166336 is a wasteful number, since it uses less digits than its factorization.

38166336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1717 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 38166336 is about 6177.8909022416. The cubic root of 38166336 is about 336.6873683749.

The spelling of 38166336 in words is "thirty-eight million, one hundred sixty-six thousand, three hundred thirty-six".