38331120 has 80 divisors (see below), whose sum is σ = 120885120. Its totient is φ = 10044672.

The previous prime is 38331109. The next prime is 38331121. The reversal of 38331120 is 2113383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38331121) 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 15 ways as a sum of consecutive naturals, for example, 12807 + ... + 15513.

It is an arithmetic number, because the mean of its divisors is an integer number (1511064).

Almost surely, 2^38331120 is an apocalyptic number.

38331120 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 38331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60442560).

38331120 is an abundant number, since it is smaller than the sum of its proper divisors (82554000).

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

38331120 is a wasteful number, since it uses less digits than its factorization.

38331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 38331120 is about 6191.2131282972. The cubic root of 38331120 is about 337.1712244089.

The spelling of 38331120 in words is "thirty-eight million, three hundred thirty-one thousand, one hundred twenty".