38564064 has 288 divisors, whose sum is σ = 143410176. Its totient is φ = 9538560.

The previous prime is 38564039. The next prime is 38564081. The reversal of 38564064 is 46046583.

38564064 is a `hidden beast` number, since 3 + 8 + 5 + 640 + 6 + 4 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820489 + ... + 820535.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 2^38564064 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 38564064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71705088).

38564064 is an abundant number, since it is smaller than the sum of its proper divisors (104846112).

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

38564064 is a wasteful number, since it uses less digits than its factorization.

38564064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 38564064 is about 6209.9971014486. The cubic root of 38564064 is about 337.8528589381.

Adding to 38564064 its sum of digits (36), we get a square (38564100 = 6210²).

The spelling of 38564064 in words is "thirty-eight million, five hundred sixty-four thousand, sixty-four".