38811120 has 160 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 9664512.

The previous prime is 38811103. The next prime is 38811127. The reversal of 38811120 is 2111883.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38811127) by changing a digit.

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, 436036 + ... + 436124.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 2^38811120 is an apocalyptic number.

38811120 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 38811120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

38811120 is an abundant number, since it is smaller than the sum of its proper divisors (89752080).

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

38811120 is a wasteful number, since it uses less digits than its factorization.

38811120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 38811120 is about 6229.8571412192. The cubic root of 38811120 is about 338.5727948508.

The spelling of 38811120 in words is "thirty-eight million, eight hundred eleven thousand, one hundred twenty".