38584368 has 60 divisors (see below), whose sum is σ = 110299488. Its totient is φ = 12585600.

The previous prime is 38584361. The next prime is 38584379. The reversal of 38584368 is 86348583.

38584368 is a `hidden beast` number, since 3 + 8 + 584 + 3 + 68 = 666.

It is a super-3 number, since 3×38584368³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (38584361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3918 + ... + 9618.

Almost surely, 2^38584368 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 38584368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55149744).

38584368 is an abundant number, since it is smaller than the sum of its proper divisors (71715120).

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

38584368 is a wasteful number, since it uses less digits than its factorization.

38584368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5753 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 38584368 is about 6211.6316696984. The cubic root of 38584368 is about 337.9121417712.

The spelling of 38584368 in words is "thirty-eight million, five hundred eighty-four thousand, three hundred sixty-eight".