38485920 has 192 divisors, whose sum is σ = 136515456. Its totient is φ = 9031680.

The previous prime is 38485919. The next prime is 38485961. The reversal of 38485920 is 2958483.

It is a happy number.

38485920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 195262 + ... + 195458.

It is an arithmetic number, because the mean of its divisors is an integer number (711018).

Almost surely, 2^38485920 is an apocalyptic number.

38485920 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 38485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68257728).

38485920 is an abundant number, since it is smaller than the sum of its proper divisors (98029536).

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

38485920 is a wasteful number, since it uses less digits than its factorization.

38485920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 38485920 is about 6203.7021205084. The cubic root of 38485920 is about 337.6245027625.

The spelling of 38485920 in words is "thirty-eight million, four hundred eighty-five thousand, nine hundred twenty".