38109120 has 224 divisors, whose sum is σ = 142207488. Its totient is φ = 8466432.

The previous prime is 38109109. The next prime is 38109167. The reversal of 38109120 is 2190183.

38109120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 356107 + ... + 356213.

Almost surely, 2^38109120 is an apocalyptic number.

38109120 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 38109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71103744).

38109120 is an abundant number, since it is smaller than the sum of its proper divisors (104098368).

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

38109120 is a wasteful number, since it uses less digits than its factorization.

38109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 38109120 is about 6173.2584588692. The cubic root of 38109120 is about 336.5190390666.

The spelling of 38109120 in words is "thirty-eight million, one hundred nine thousand, one hundred twenty".