38133666 has 40 divisors (see below), whose sum is σ = 88405020. Its totient is φ = 12271392.

The previous prime is 38133631. The next prime is 38133673. The reversal of 38133666 is 66633183.

It can be written as a sum of positive squares in 2 ways, for example, as 35820225 + 2313441 = 5985^2 + 1521^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38133666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 640 + ... + 8756.

Almost surely, 2^38133666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38133666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44202510).

38133666 is an abundant number, since it is smaller than the sum of its proper divisors (50271354).

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

38133666 is a wasteful number, since it uses less digits than its factorization.

38133666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 8151 counting only the distinct ones).

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

The square root of 38133666 is about 6175.2462299086. The cubic root of 38133666 is about 336.5912739500.

The spelling of 38133666 in words is "thirty-eight million, one hundred thirty-three thousand, six hundred sixty-six".