3718560 has 96 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 967680.

The previous prime is 3718553. The next prime is 3718573. The reversal of 3718560 is 658173.

3718560 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 29217 + ... + 29343.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^3718560 is an apocalyptic number.

3718560 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 3718560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

3718560 is an abundant number, since it is smaller than the sum of its proper divisors (8280672).

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

3718560 is a wasteful number, since it uses less digits than its factorization.

3718560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 3718560 is about 1928.3568134554. The cubic root of 3718560 is about 154.9262222592.

It can be divided in two parts, 3718 and 560, that added together give a triangular number (4278 = T₉₂).

The spelling of 3718560 in words is "three million, seven hundred eighteen thousand, five hundred sixty".