38782240 has 96 divisors (see below), whose sum is σ = 108186624. Its totient is φ = 12856320.

The previous prime is 38782231. The next prime is 38782267. The reversal of 38782240 is 4228783.

It is a junction number, because it is equal to n+sod(n) for n = 38782196 and 38782205.

It is an unprimeable number.

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, 34162 + ... + 35278.

It is an arithmetic number, because the mean of its divisors is an integer number (1126944).

Almost surely, 2^38782240 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 38782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54093312).

38782240 is an abundant number, since it is smaller than the sum of its proper divisors (69404384).

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

38782240 is a wasteful number, since it uses less digits than its factorization.

38782240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 38782240 is about 6227.5388397022. The cubic root of 38782240 is about 338.4887947959.

The spelling of 38782240 in words is "thirty-eight million, seven hundred eighty-two thousand, two hundred forty".