38785824 has 288 divisors, whose sum is σ = 144789120. Its totient is φ = 9884160.

The previous prime is 38785819. The next prime is 38785829. The reversal of 38785824 is 42858783.

It is an interprime number because it is at equal distance from previous prime (38785819) and next prime (38785829).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 38785824.

It is not an unprimeable number, because it can be changed into a prime (38785829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731782 + ... + 731834.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^38785824 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 38785824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

38785824 is an abundant number, since it is smaller than the sum of its proper divisors (106003296).

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

38785824 is a wasteful number, since it uses less digits than its factorization.

38785824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 38785824 is about 6227.8265871811. The cubic root of 38785824 is about 338.4992214454.

The spelling of 38785824 in words is "thirty-eight million, seven hundred eighty-five thousand, eight hundred twenty-four".