3706680 has 128 divisors (see below), whose sum is σ = 12441600. Its totient is φ = 878592.

The previous prime is 3706679. The next prime is 3706723. The reversal of 3706680 is 866073.

3706680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 46881 + ... + 46959.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

Almost surely, 2^3706680 is an apocalyptic number.

3706680 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 3706680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220800).

3706680 is an abundant number, since it is smaller than the sum of its proper divisors (8734920).

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

3706680 is a wasteful number, since it uses less digits than its factorization.

3706680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3706680 is about 1925.2740064728. The cubic root of 3706680 is about 154.7610609215.

The spelling of 3706680 in words is "three million, seven hundred six thousand, six hundred eighty".