3648180 has 48 divisors (see below), whose sum is σ = 10471104. Its totient is φ = 948480.

The previous prime is 3648179. The next prime is 3648241. The reversal of 3648180 is 818463.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1719 + ... + 3201.

It is an arithmetic number, because the mean of its divisors is an integer number (218148).

Almost surely, 2^3648180 is an apocalyptic number.

3648180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3648180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235552).

3648180 is an abundant number, since it is smaller than the sum of its proper divisors (6822924).

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

3648180 is a wasteful number, since it uses less digits than its factorization.

3648180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3648180 is about 1910.0209422936. The cubic root of 3648180 is about 153.9425771181.

It can be divided in two parts, 3648 and 180, that added together give a triangular number (3828 = T₈₇).

The spelling of 3648180 in words is "three million, six hundred forty-eight thousand, one hundred eighty".