38820100 has 36 divisors (see below), whose sum is σ = 91900368. Its totient is φ = 14116000.

The previous prime is 38820083. The next prime is 38820101. The reversal of 38820100 is 102883.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (38820101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16546 + ... + 18745.

It is an arithmetic number, because the mean of its divisors is an integer number (2552788).

Almost surely, 2^38820100 is an apocalyptic number.

It is an amenable number.

38820100 is an abundant number, since it is smaller than the sum of its proper divisors (53080268).

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

38820100 is a wasteful number, since it uses less digits than its factorization.

38820100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35316 (or 35309 counting only the distinct ones).

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

The square root of 38820100 is about 6230.5778223211. The cubic root of 38820100 is about 338.5989054882.

Adding to 38820100 its reverse (102883), we get a palindrome (38922983).

The spelling of 38820100 in words is "thirty-eight million, eight hundred twenty thousand, one hundred".