3638080 has 28 divisors (see below), whose sum is σ = 8663940. Its totient is φ = 1455104.

The previous prime is 3638077. The next prime is 3638087. The reversal of 3638080 is 808363.

It can be written as a sum of positive squares in 2 ways, for example, as 1700416 + 1937664 = 1304^2 + 1392^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3638087) 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, 5365 + ... + 6004.

Almost surely, 2^3638080 is an apocalyptic number.

It is an amenable number.

3638080 is an abundant number, since it is smaller than the sum of its proper divisors (5025860).

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

3638080 is a wasteful number, since it uses less digits than its factorization.

3638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11386 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3638080 is about 1907.3751597418. The cubic root of 3638080 is about 153.8003822811.

The spelling of 3638080 in words is "three million, six hundred thirty-eight thousand, eighty".