3766480 has 60 divisors (see below), whose sum is σ = 9257220. Its totient is φ = 1424896.

The previous prime is 3766471. The next prime is 3766487. The reversal of 3766480 is 846673.

3766480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1024144 + 2742336 = 1012^2 + 1656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766487) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42276 + ... + 42364.

It is an arithmetic number, because the mean of its divisors is an integer number (154287).

Almost surely, 2^3766480 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 3766480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628610).

3766480 is an abundant number, since it is smaller than the sum of its proper divisors (5490740).

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

3766480 is a wasteful number, since it uses less digits than its factorization.

3766480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3766480 is about 1940.7421260951. The cubic root of 3766480 is about 155.5888802375.

It can be divided in two parts, 3 and 766480, that multiplied together give a triangular number (2299440 = T₂₁₄₄).

The spelling of 3766480 in words is "three million, seven hundred sixty-six thousand, four hundred eighty".