38107920 has 160 divisors (see below), whose sum is σ = 127313280. Its totient is φ = 9400320.

The previous prime is 38107919. The next prime is 38107957. The reversal of 38107920 is 2970183.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278092 + ... + 278228.

It is an arithmetic number, because the mean of its divisors is an integer number (795708).

Almost surely, 2^38107920 is an apocalyptic number.

38107920 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 38107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63656640).

38107920 is an abundant number, since it is smaller than the sum of its proper divisors (89205360).

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

38107920 is a wasteful number, since it uses less digits than its factorization.

38107920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 38107920 is about 6173.1612647006. The cubic root of 38107920 is about 336.5155068668.

The spelling of 38107920 in words is "thirty-eight million, one hundred seven thousand, nine hundred twenty".