38018820 has 96 divisors (see below), whose sum is σ = 122766336. Its totient is φ = 8611200.

The previous prime is 38018819. The next prime is 38018821. The reversal of 38018820 is 2881083.

It is an interprime number because it is at equal distance from previous prime (38018819) and next prime (38018821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (38018821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54675 + ... + 55365.

It is an arithmetic number, because the mean of its divisors is an integer number (1278816).

Almost surely, 2^38018820 is an apocalyptic number.

38018820 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 38018820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61383168).

38018820 is an abundant number, since it is smaller than the sum of its proper divisors (84747516).

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

38018820 is a wasteful number, since it uses less digits than its factorization.

38018820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 38018820 is about 6165.9403175834. The cubic root of 38018820 is about 336.2530336049.

It can be divided in two parts, 3801 and 8820, that added together give a palindrome (12621).

The spelling of 38018820 in words is "thirty-eight million, eighteen thousand, eight hundred twenty".