3706880 has 52 divisors (see below), whose sum is σ = 8944572. Its totient is φ = 1474560.

The previous prime is 3706861. The next prime is 3706883. The reversal of 3706880 is 886073.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 3211264 = 704^2 + 1792^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3706883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20390 + ... + 20570.

It is an arithmetic number, because the mean of its divisors is an integer number (172011).

Almost surely, 2^3706880 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 3706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472286).

3706880 is an abundant number, since it is smaller than the sum of its proper divisors (5237692).

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

3706880 is an equidigital number, since it uses as much as digits as its factorization.

3706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 3706880 is about 1925.3259464309. The cubic root of 3706880 is about 154.7638443337.

The spelling of 3706880 in words is "three million, seven hundred six thousand, eight hundred eighty".