3834180 has 144 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 820224.

The previous prime is 3834167. The next prime is 3834191. The reversal of 3834180 is 814383.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21331 + ... + 21509.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 2^3834180 is an apocalyptic number.

3834180 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 3834180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

3834180 is an abundant number, since it is smaller than the sum of its proper divisors (10318140).

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

3834180 is a wasteful number, since it uses less digits than its factorization.

3834180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3834180 is about 1958.1062279662. The cubic root of 3834180 is about 156.5155526943.

The spelling of 3834180 in words is "three million, eight hundred thirty-four thousand, one hundred eighty".