3766880 has 48 divisors (see below), whose sum is σ = 9589104. Its totient is φ = 1390080.

The previous prime is 3766853. The next prime is 3766891. The reversal of 3766880 is 886673.

3766880 = 208² + 209² + ... + 272².

3766880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1175 + ... + 2985.

It is an arithmetic number, because the mean of its divisors is an integer number (199773).

Almost surely, 2^3766880 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 3766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794552).

3766880 is an abundant number, since it is smaller than the sum of its proper divisors (5822224).

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

3766880 is a wasteful number, since it uses less digits than its factorization.

3766880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 3766880 is about 1940.8451767207. The cubic root of 3766880 is about 155.5943878865.

The spelling of 3766880 in words is "three million, seven hundred sixty-six thousand, eight hundred eighty".