38627064 has 128 divisors (see below), whose sum is σ = 124992000. Its totient is φ = 10824192.

The previous prime is 38627063. The next prime is 38627081. The reversal of 38627064 is 46072683.

38627064 is a `hidden beast` number, since 386 + 270 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (38627063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88992 + ... + 89424.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 2^38627064 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 38627064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496000).

38627064 is an abundant number, since it is smaller than the sum of its proper divisors (86364936).

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

38627064 is a wasteful number, since it uses less digits than its factorization.

38627064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38627064 is about 6215.0674976222. The cubic root of 38627064 is about 338.0367360839.

The spelling of 38627064 in words is "thirty-eight million, six hundred twenty-seven thousand, sixty-four".