38027920 has 120 divisors (see below), whose sum is σ = 104959800. Its totient is φ = 12773376.

The previous prime is 38027893. The next prime is 38027921. The reversal of 38027920 is 2972083.

It can be written as a sum of positive squares in 4 ways, for example, as 2458624 + 35569296 = 1568^2 + 5964^2 .

It is a super-2 number, since 2×38027920² = 2892245399052800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38027921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348826 + ... + 348934.

It is an arithmetic number, because the mean of its divisors is an integer number (874665).

Almost surely, 2^38027920 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 38027920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52479900).

38027920 is an abundant number, since it is smaller than the sum of its proper divisors (66931880).

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

38027920 is a wasteful number, since it uses less digits than its factorization.

38027920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 38027920 is about 6166.6781981874. The cubic root of 38027920 is about 336.2798594288.

The spelling of 38027920 in words is "thirty-eight million, twenty-seven thousand, nine hundred twenty".