38642544 has 60 divisors (see below), whose sum is σ = 109048576. Its totient is φ = 12773376.

The previous prime is 38642543. The next prime is 38642563. The reversal of 38642544 is 44524683.

38642544 is a `hidden beast` number, since 3 + 8 + 642 + 5 + 4 + 4 = 666.

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 = 38642499 and 38642508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38642543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17232 + ... + 19344.

Almost surely, 2^38642544 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 38642544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54524288).

38642544 is an abundant number, since it is smaller than the sum of its proper divisors (70406032).

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

38642544 is a wasteful number, since it uses less digits than its factorization.

38642544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2245 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 38642544 is about 6216.3127334458. The cubic root of 38642544 is about 338.0818867224.

The spelling of 38642544 in words is "thirty-eight million, six hundred forty-two thousand, five hundred forty-four".