38027520 has 108 divisors (see below), whose sum is σ = 131611116. Its totient is φ = 10137600.

The previous prime is 38027503. The next prime is 38027543. The reversal of 38027520 is 2572083.

It can be written as a sum of positive squares in 2 ways, for example, as 10653696 + 27373824 = 3264^2 + 5232^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9870 + ... + 13170.

Almost surely, 2^38027520 is an apocalyptic number.

38027520 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 38027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65805558).

38027520 is an abundant number, since it is smaller than the sum of its proper divisors (93583596).

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

38027520 is a wasteful number, since it uses less digits than its factorization.

38027520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 38027520 is about 6166.6457657303. The cubic root of 38027520 is about 336.2786803616.

The spelling of 38027520 in words is "thirty-eight million, twenty-seven thousand, five hundred twenty".