38185820 has 36 divisors (see below), whose sum is σ = 84677880. Its totient is φ = 14424768.

The previous prime is 38185787. The next prime is 38185843. The reversal of 38185820 is 2858183.

38185820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 120302 + ... + 120618.

Almost surely, 2^38185820 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 38185820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42338940).

38185820 is an abundant number, since it is smaller than the sum of its proper divisors (46492060).

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

38185820 is a wasteful number, since it uses less digits than its factorization.

38185820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 38185820 is about 6179.4676146089. The cubic root of 38185820 is about 336.7446518467.

The spelling of 38185820 in words is "thirty-eight million, one hundred eighty-five thousand, eight hundred twenty".