3007320 has 64 divisors (see below), whose sum is σ = 9504000. Its totient is φ = 759168.

The previous prime is 3007313. The next prime is 3007321. The reversal of 3007320 is 237003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3007320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3007321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (148500).

Almost surely, 2^3007320 is an apocalyptic number.

3007320 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 3007320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752000).

3007320 is an abundant number, since it is smaller than the sum of its proper divisors (6496680).

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

3007320 is a wasteful number, since it uses less digits than its factorization.

3007320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 3007320 is about 1734.1626221321. The cubic root of 3007320 is about 144.3421647185.

The spelling of 3007320 in words is "three million, seven thousand, three hundred twenty".