38627424 has 144 divisors (see below), whose sum is σ = 122063760. Its totient is φ = 11489280.

The previous prime is 38627423. The next prime is 38627429. The reversal of 38627424 is 42472683.

38627424 is a `hidden beast` number, since 3 + 8 + 627 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38627423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281884 + ... + 282020.

It is an arithmetic number, because the mean of its divisors is an integer number (847665).

Almost surely, 2^38627424 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 38627424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61031880).

38627424 is an abundant number, since it is smaller than the sum of its proper divisors (83436336).

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

38627424 is a wasteful number, since it uses less digits than its factorization.

38627424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 242 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 38627424 is about 6215.0964594284. The cubic root of 38627424 is about 338.0377862358.

The spelling of 38627424 in words is "thirty-eight million, six hundred twenty-seven thousand, four hundred twenty-four".