38868816 has 80 divisors (see below), whose sum is σ = 118742400. Its totient is φ = 10719744.

The previous prime is 38868811. The next prime is 38868821. The reversal of 38868816 is 61886883.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38868811) and next prime (38868821).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38868811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7750 + ... + 11738.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^38868816 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 38868816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371200).

38868816 is an abundant number, since it is smaller than the sum of its proper divisors (79873584).

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

38868816 is a wasteful number, since it uses less digits than its factorization.

38868816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4030 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 38868816 is about 6234.4860253272. The cubic root of 38868816 is about 338.7404841124.

The spelling of 38868816 in words is "thirty-eight million, eight hundred sixty-eight thousand, eight hundred sixteen".