38802100 has 36 divisors (see below), whose sum is σ = 85594348. Its totient is φ = 15264000.

The previous prime is 38802097. The next prime is 38802149. The reversal of 38802100 is 120883.

It can be written as a sum of positive squares in 6 ways, for example, as 11532816 + 27269284 = 3396^2 + 5222^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2920 + ... + 9280.

Almost surely, 2^38802100 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 38802100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42797174).

38802100 is an abundant number, since it is smaller than the sum of its proper divisors (46792248).

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

38802100 is a wasteful number, since it uses less digits than its factorization.

38802100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 38802100 is about 6229.1331660192. The cubic root of 38802100 is about 338.5465638529.

Adding to 38802100 its reverse (120883), we get a palindrome (38922983).

The spelling of 38802100 in words is "thirty-eight million, eight hundred two thousand, one hundred".