3638280 has 32 divisors (see below), whose sum is σ = 10915200. Its totient is φ = 970176.

The previous prime is 3638279. The next prime is 3638287. The reversal of 3638280 is 828363.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3638287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15040 + ... + 15279.

It is an arithmetic number, because the mean of its divisors is an integer number (341100).

Almost surely, 2^3638280 is an apocalyptic number.

3638280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3638280 is an abundant number, since it is smaller than the sum of its proper divisors (7276920).

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

3638280 is a wasteful number, since it uses less digits than its factorization.

3638280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30333 (or 30329 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3638280 is about 1907.4275870921. The cubic root of 3638280 is about 153.8032005728.

The spelling of 3638280 in words is "three million, six hundred thirty-eight thousand, two hundred eighty".