38613168 has 120 divisors (see below), whose sum is σ = 124188480. Its totient is φ = 11076480.

The previous prime is 38613161. The next prime is 38613191. The reversal of 38613168 is 86131683.

38613168 is a `hidden beast` number, since 38 + 613 + 1 + 6 + 8 = 666.

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 not an unprimeable number, because it can be changed into a prime (38613161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29455 + ... + 30737.

It is an arithmetic number, because the mean of its divisors is an integer number (1034904).

Almost surely, 2^38613168 is an apocalyptic number.

38613168 is a gapful number since it is divisible by the number (38) 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 38613168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62094240).

38613168 is an abundant number, since it is smaller than the sum of its proper divisors (85575312).

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

38613168 is a wasteful number, since it uses less digits than its factorization.

38613168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1318 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 38613168 is about 6213.9494687356. The cubic root of 38613168 is about 337.9961952351.

It can be divided in two parts, 38613 and 168, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 38613168 in words is "thirty-eight million, six hundred thirteen thousand, one hundred sixty-eight".