3843360 has 144 divisors (see below), whose sum is σ = 13975416. Its totient is φ = 958464.

The previous prime is 3843347. The next prime is 3843361. The reversal of 3843360 is 633483.

It can be written as a sum of positive squares in 4 ways, for example, as 3196944 + 646416 = 1788^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (3843361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24402 + ... + 24558.

Almost surely, 2^3843360 is an apocalyptic number.

3843360 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 3843360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987708).

3843360 is an abundant number, since it is smaller than the sum of its proper divisors (10132056).

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

3843360 is a wasteful number, since it uses less digits than its factorization.

3843360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3843360 is about 1960.4489281795. The cubic root of 3843360 is about 156.6403657876.

The spelling of 3843360 in words is "three million, eight hundred forty-three thousand, three hundred sixty".