38775240 has 256 divisors, whose sum is σ = 154828800. Its totient is φ = 8439552.

The previous prime is 38775239. The next prime is 38775241. The reversal of 38775240 is 4257783.

38775240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38775239) and next prime (38775241).

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

It is a junction number, because it is equal to n+sod(n) for n = 38775195 and 38775204.

It is not an unprimeable number, because it can be changed into a prime (38775241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173769 + ... + 173991.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^38775240 is an apocalyptic number.

38775240 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 38775240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

38775240 is an abundant number, since it is smaller than the sum of its proper divisors (116053560).

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

38775240 is a wasteful number, since it uses less digits than its factorization.

38775240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 38775240 is about 6226.9767945609. The cubic root of 38775240 is about 338.4684283933.

The spelling of 38775240 in words is "thirty-eight million, seven hundred seventy-five thousand, two hundred forty".