38005040 has 40 divisors (see below), whose sum is σ = 88738368. Its totient is φ = 15137280.

The previous prime is 38005007. The next prime is 38005049. The reversal of 38005040 is 4050083.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (38005049) 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, 20804 + ... + 22556.

Almost surely, 2^38005040 is an apocalyptic number.

It is an amenable number.

38005040 is an abundant number, since it is smaller than the sum of its proper divisors (50733328).

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

38005040 is a wasteful number, since it uses less digits than its factorization.

38005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 38005040 is about 6164.8227873962. The cubic root of 38005040 is about 336.2124034930.

The spelling of 38005040 in words is "thirty-eight million, five thousand, forty".