38784640 has 32 divisors (see below), whose sum is σ = 92721060. Its totient is φ = 15513600.

The previous prime is 38784637. The next prime is 38784649. The reversal of 38784640 is 4648783.

It can be written as a sum of positive squares in 2 ways, for example, as 36869184 + 1915456 = 6072^2 + 1384^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 38784593 and 38784602.

It is not an unprimeable number, because it can be changed into a prime (38784649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29661 + ... + 30940.

Almost surely, 2^38784640 is an apocalyptic number.

It is an amenable number.

38784640 is an abundant number, since it is smaller than the sum of its proper divisors (53936420).

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

38784640 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 9 representation: 38784640 = (80873464)₉.

38784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60620 (or 60608 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 38784640 is about 6227.7315292167. The cubic root of 38784640 is about 338.4957769983.

The spelling of 38784640 in words is "thirty-eight million, seven hundred eighty-four thousand, six hundred forty".