38640960 has 84 divisors (see below), whose sum is σ = 132918708. Its totient is φ = 10303488.

The previous prime is 38640947. The next prime is 38640971. The reversal of 38640960 is 6904683.

38640960 is a `hidden beast` number, since 3 + 8 + 640 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14197824 + 24443136 = 3768^2 + 4944^2 .

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3829 + ... + 9588.

Almost surely, 2^38640960 is an apocalyptic number.

38640960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38640960 is an abundant number, since it is smaller than the sum of its proper divisors (94277748).

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

38640960 is a wasteful number, since it uses less digits than its factorization.

38640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13440 (or 13427 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 38640960 is about 6216.1853254227. The cubic root of 38640960 is about 338.0772672109.

The spelling of 38640960 in words is "thirty-eight million, six hundred forty thousand, nine hundred sixty".