38117268 has 108 divisors (see below), whose sum is σ = 116494560. Its totient is φ = 10292832.

The previous prime is 38117251. The next prime is 38117269. The reversal of 38117268 is 86271183.

38117268 is a `hidden beast` number, since 381 + 17 + 268 = 666.

38117268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38117268² = 2905852239567648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38117269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90763 + ... + 91181.

Almost surely, 2^38117268 is an apocalyptic number.

38117268 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 38117268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58247280).

38117268 is an abundant number, since it is smaller than the sum of its proper divisors (78377292).

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

38117268 is a wasteful number, since it uses less digits than its factorization.

38117268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 450 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 38117268 is about 6173.9183668073. The cubic root of 38117268 is about 336.5430207429.

The spelling of 38117268 in words is "thirty-eight million, one hundred seventeen thousand, two hundred sixty-eight".