3804180 has 96 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 927360.

The previous prime is 3804179. The next prime is 3804187. The reversal of 3804180 is 814083.

3804180 is a modest number, since divided by 4180 gives 380 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 3804180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3804187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53545 + ... + 53615.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 2^3804180 is an apocalyptic number.

3804180 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 3804180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3804180 is an abundant number, since it is smaller than the sum of its proper divisors (7807980).

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

3804180 is a wasteful number, since it uses less digits than its factorization.

3804180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3804180 is about 1950.4307216612. The cubic root of 3804180 is about 156.1062720979.

It can be divided in two parts, 380 and 4180, that added together give a triangular number (4560 = T₉₅).

The spelling of 3804180 in words is "three million, eight hundred four thousand, one hundred eighty".