38816820 has 216 divisors, whose sum is σ = 142912224. Its totient is φ = 8817984.

The previous prime is 38816809. The next prime is 38816821. The reversal of 38816820 is 2861883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38816821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 238059 + ... + 238221.

Almost surely, 2^38816820 is an apocalyptic number.

38816820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38816820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71456112).

38816820 is an abundant number, since it is smaller than the sum of its proper divisors (104095404).

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

38816820 is a wasteful number, since it uses less digits than its factorization.

38816820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 38816820 is about 6230.3145987984. The cubic root of 38816820 is about 338.5893688848.

It can be divided in two parts, 3881 and 6820, that added together give a palindrome (10701).

The spelling of 38816820 in words is "thirty-eight million, eight hundred sixteen thousand, eight hundred twenty".