3779440 has 80 divisors (see below), whose sum is σ = 10660032. Its totient is φ = 1216512.

The previous prime is 3779437. The next prime is 3779441. The reversal of 3779440 is 449773.

3779440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 3779396 and 3779405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3779441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9322 + ... + 9718.

Almost surely, 2^3779440 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 3779440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330016).

3779440 is an abundant number, since it is smaller than the sum of its proper divisors (6880592).

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

3779440 is a wasteful number, since it uses less digits than its factorization.

3779440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 3779440 is about 1944.0781877281. The cubic root of 3779440 is about 155.7671300918.

The spelling of 3779440 in words is "three million, seven hundred seventy-nine thousand, four hundred forty".