38117800 has 96 divisors (see below), whose sum is σ = 106689600. Its totient is φ = 12372480.

The previous prime is 38117797. The next prime is 38117801. The reversal of 38117800 is 871183.

It is a happy number.

It is a super-4 number, since 4×38117800⁴ (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (38117801) 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, 25884 + ... + 27316.

It is an arithmetic number, because the mean of its divisors is an integer number (1111350).

Almost surely, 2^38117800 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 38117800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53344800).

38117800 is an abundant number, since it is smaller than the sum of its proper divisors (68571800).

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

38117800 is a wasteful number, since it uses less digits than its factorization.

38117800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 38117800 is about 6173.9614511268. The cubic root of 38117800 is about 336.5445864380.

Adding to 38117800 its reverse (871183), we get a palindrome (38988983).

It can be divided in two parts, 3811 and 7800, that added together give a palindrome (11611).

The spelling of 38117800 in words is "thirty-eight million, one hundred seventeen thousand, eight hundred".