3703680 has 96 divisors (see below), whose sum is σ = 12809160. Its totient is φ = 986112.

The previous prime is 3703673. The next prime is 3703691. The reversal of 3703680 is 863073.

It is a happy number.

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

It is a congruent number.

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, 5439 + ... + 6081.

Almost surely, 2^3703680 is an apocalyptic number.

3703680 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 3703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404580).

3703680 is an abundant number, since it is smaller than the sum of its proper divisors (9105480).

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

3703680 is a wasteful number, since it uses less digits than its factorization.

3703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

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

The square root of 3703680 is about 1924.4947388860. The cubic root of 3703680 is about 154.7192977178.

The spelling of 3703680 in words is "three million, seven hundred three thousand, six hundred eighty".