3807360 has 96 divisors (see below), whose sum is σ = 13167180. Its totient is φ = 1013760.

The previous prime is 3807359. The next prime is 3807379. The reversal of 3807360 is 637083.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 28224 = 1944^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5430 + ... + 6090.

Almost surely, 2^3807360 is an apocalyptic number.

3807360 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 3807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583590).

3807360 is an abundant number, since it is smaller than the sum of its proper divisors (9359820).

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

3807360 is a wasteful number, since it uses less digits than its factorization.

3807360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3807360 is about 1951.2457559211. The cubic root of 3807360 is about 156.1497575697.

The spelling of 3807360 in words is "three million, eight hundred seven thousand, three hundred sixty".