3007360 has 64 divisors (see below), whose sum is σ = 7441920. Its totient is φ = 1161216.

The previous prime is 3007349. The next prime is 3007369. The reversal of 3007360 is 637003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3007369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23617 + ... + 23743.

It is an arithmetic number, because the mean of its divisors is an integer number (116280).

Almost surely, 2^3007360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720960).

3007360 is an abundant number, since it is smaller than the sum of its proper divisors (4434560).

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

3007360 is a wasteful number, since it uses less digits than its factorization.

3007360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 3007360 is about 1734.1741550375. The cubic root of 3007360 is about 144.3428046749.

The spelling of 3007360 in words is "three million, seven thousand, three hundred sixty".