38185022820 has 144 divisors (see below), whose sum is σ = 127407990528. Its totient is φ = 8515100160.

The previous prime is 38185022819. The next prime is 38185022849. The reversal of 38185022820 is 2822058183.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37852 + ... + 278931.

It is an arithmetic number, because the mean of its divisors is an integer number (884777712).

Almost surely, 2^38185022820 is an apocalyptic number.

38185022820 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 38185022820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63703995264).

38185022820 is an abundant number, since it is smaller than the sum of its proper divisors (89222967708).

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

38185022820 is a wasteful number, since it uses less digits than its factorization.

38185022820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316850 (or 316841 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 38185022820 in words is "thirty-eight billion, one hundred eighty-five million, twenty-two thousand, eight hundred twenty".