38111920 has 160 divisors (see below), whose sum is σ = 115706880. Its totient is φ = 11320320.

The previous prime is 38111917. The next prime is 38111921. The reversal of 38111920 is 2911183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38111921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141546 + ... + 141814.

It is an arithmetic number, because the mean of its divisors is an integer number (723168).

Almost surely, 2^38111920 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 38111920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57853440).

38111920 is an abundant number, since it is smaller than the sum of its proper divisors (77594960).

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

38111920 is a wasteful number, since it uses less digits than its factorization.

38111920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 38111920 is about 6173.4852393117. The cubic root of 38111920 is about 336.5272805780.

The spelling of 38111920 in words is "thirty-eight million, one hundred eleven thousand, nine hundred twenty".