38005064 has 32 divisors (see below), whose sum is σ = 76149720. Its totient is φ = 17719296.

The previous prime is 38005061. The next prime is 38005067. The reversal of 38005064 is 46050083.

It is an interprime number because it is at equal distance from previous prime (38005061) and next prime (38005067).

It can be written as a sum of positive squares in 4 ways, for example, as 31024900 + 6980164 = 5570^2 + 2642^2 .

It is not an unprimeable number, because it can be changed into a prime (38005061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14132 + ... + 16604.

Almost surely, 2^38005064 is an apocalyptic number.

38005064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

38005064 is an abundant number, since it is smaller than the sum of its proper divisors (38144656).

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

38005064 is a wasteful number, since it uses less digits than its factorization.

38005064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 38005064 is about 6164.8247339239. The cubic root of 38005064 is about 336.2124742652.

The spelling of 38005064 in words is "thirty-eight million, five thousand, sixty-four".