3407360 has 80 divisors (see below), whose sum is σ = 8986032. Its totient is φ = 1239040.

The previous prime is 3407357. The next prime is 3407389. The reversal of 3407360 is 637043.

3407360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3407360² = 23220204339200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309755 + ... + 309765.

Almost surely, 2^3407360 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 3407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493016).

3407360 is an abundant number, since it is smaller than the sum of its proper divisors (5578672).

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

3407360 is an frugal number, since it uses more digits than its factorization.

3407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 3407360 is about 1845.9035727795. The cubic root of 3407360 is about 150.4778833075.

The spelling of 3407360 in words is "three million, four hundred seven thousand, three hundred sixty".