3779880 has 64 divisors (see below), whose sum is σ = 12216960. Its totient is φ = 930048.

The previous prime is 3779873. The next prime is 3779891. The reversal of 3779880 is 889773.

3779880 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 15 ways as a sum of consecutive naturals, for example, 349 + ... + 2771.

It is an arithmetic number, because the mean of its divisors is an integer number (190890).

Almost surely, 2^3779880 is an apocalyptic number.

3779880 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 3779880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108480).

3779880 is an abundant number, since it is smaller than the sum of its proper divisors (8437080).

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

3779880 is a wasteful number, since it uses less digits than its factorization.

3779880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 3779880 is about 1944.1913486074. The cubic root of 3779880 is about 155.7731746273.

The spelling of 3779880 in words is "three million, seven hundred seventy-nine thousand, eight hundred eighty".