3630180 has 48 divisors (see below), whose sum is σ = 10765440. Its totient is φ = 910848.

The previous prime is 3630169. The next prime is 3630199. The reversal of 3630180 is 810363.

3630180 = T₄₄₅ + T₄₄₆ + ... + T₄₇₈.

3630180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 760 + ... + 2799.

It is an arithmetic number, because the mean of its divisors is an integer number (224280).

Almost surely, 2^3630180 is an apocalyptic number.

3630180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3630180 is an abundant number, since it is smaller than the sum of its proper divisors (7135260).

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

3630180 is a wasteful number, since it uses less digits than its factorization.

3630180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3630180 is about 1905.3031254895. The cubic root of 3630180 is about 153.6889770392.

It can be divided in two parts, 3 and 630180, that multiplied together give a triangular number (1890540 = T₁₉₄₄).

The spelling of 3630180 in words is "three million, six hundred thirty thousand, one hundred eighty".