38016800 has 36 divisors (see below), whose sum is σ = 92810466. Its totient is φ = 15206400.

The previous prime is 38016791. The next prime is 38016829. The reversal of 38016800 is 861083.

It can be written as a sum of positive squares in 3 ways, for example, as 34527376 + 3489424 = 5876^2 + 1868^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38016800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22961 + ... + 24560.

Almost surely, 2^38016800 is an apocalyptic number.

It is an amenable number.

38016800 is an abundant number, since it is smaller than the sum of its proper divisors (54793666).

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

38016800 is a wasteful number, since it uses less digits than its factorization.

38016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47541 (or 47528 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 38016800 is about 6165.7765123300. The cubic root of 38016800 is about 336.2470782811.

Adding to 38016800 its reverse (861083), we get a palindrome (38877883).

It can be divided in two parts, 3801 and 6800, that added together give a palindrome (10601).

The spelling of 38016800 in words is "thirty-eight million, sixteen thousand, eight hundred".