38753280 has 198 divisors, whose sum is σ = 139069086. Its totient is φ = 9977856.

The previous prime is 38753257. The next prime is 38753303. The reversal of 38753280 is 8235783.

It is an interprime number because it is at equal distance from previous prime (38753257) and next prime (38753303).

It can be written as a sum of positive squares in 3 ways, for example, as 4460544 + 34292736 = 2112^2 + 5856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1336306 + ... + 1336334.

Almost surely, 2^38753280 is an apocalyptic number.

38753280 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 38753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69534543).

38753280 is an abundant number, since it is smaller than the sum of its proper divisors (100315806).

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

38753280 is a wasteful number, since it uses less digits than its factorization.

38753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 38753280 is about 6225.2132493594. The cubic root of 38753280 is about 338.4045201683.

The spelling of 38753280 in words is "thirty-eight million, seven hundred fifty-three thousand, two hundred eighty".