38766384 has 80 divisors (see below), whose sum is σ = 117155200. Its totient is φ = 12239424.

The previous prime is 38766331. The next prime is 38766391. The reversal of 38766384 is 48366783.

38766384 is a `hidden beast` number, since 3 + 8 + 7 + 6 + 638 + 4 = 666.

It is a super-3 number, since 3×38766384³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5847 + ... + 10569.

It is an arithmetic number, because the mean of its divisors is an integer number (1464440).

Almost surely, 2^38766384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38766384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58577600).

38766384 is an abundant number, since it is smaller than the sum of its proper divisors (78388816).

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

38766384 is a wasteful number, since it uses less digits than its factorization.

38766384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4759 (or 4747 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 38766384 is about 6226.2656544674. The cubic root of 38766384 is about 338.4426584722.

The spelling of 38766384 in words is "thirty-eight million, seven hundred sixty-six thousand, three hundred eighty-four".