3779280 has 120 divisors (see below), whose sum is σ = 13202280. Its totient is φ = 967680.

The previous prime is 3779273. The next prime is 3779297. The reversal of 3779280 is 829773.

3779280 is a `hidden beast` number, since 377 + 9 + 280 = 666.

3779280 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 4 ways, for example, as 144 + 3779136 = 12^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 20790 + ... + 20970.

It is an arithmetic number, because the mean of its divisors is an integer number (110019).

Almost surely, 2^3779280 is an apocalyptic number.

3779280 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 3779280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601140).

3779280 is an abundant number, since it is smaller than the sum of its proper divisors (9423000).

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

3779280 is a wasteful number, since it uses less digits than its factorization.

3779280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3779280 is about 1944.0370366842. The cubic root of 3779280 is about 155.7649319625.

The spelling of 3779280 in words is "three million, seven hundred seventy-nine thousand, two hundred eighty".