38042766 has 48 divisors (see below), whose sum is σ = 86261760. Its totient is φ = 12102480.

The previous prime is 38042749. The next prime is 38042791. The reversal of 38042766 is 66724083.

38042766 is a `hidden beast` number, since 380 + 4 + 276 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38042766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43651 + ... + 44513.

It is an arithmetic number, because the mean of its divisors is an integer number (1797120).

Almost surely, 2^38042766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38042766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43130880).

38042766 is an abundant number, since it is smaller than the sum of its proper divisors (48218994).

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

38042766 is a wasteful number, since it uses less digits than its factorization.

38042766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38042766 is about 6167.8818082061. The cubic root of 38042766 is about 336.3236146597.

The spelling of 38042766 in words is "thirty-eight million, forty-two thousand, seven hundred sixty-six".