38641824 has 72 divisors (see below), whose sum is σ = 118352052. Its totient is φ = 11888640.

The previous prime is 38641807. The next prime is 38641831. The reversal of 38641824 is 42814683.

38641824 is a `hidden beast` number, since 3 + 8 + 641 + 8 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37601424 + 1040400 = 6132^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1417 + ... + 8904.

Almost surely, 2^38641824 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 38641824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59176026).

38641824 is an abundant number, since it is smaller than the sum of its proper divisors (79710228).

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

38641824 is a wasteful number, since it uses less digits than its factorization.

38641824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10350 (or 10339 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 38641824 is about 6216.2548210317. The cubic root of 38641824 is about 338.0797869601.

The spelling of 38641824 in words is "thirty-eight million, six hundred forty-one thousand, eight hundred twenty-four".