3783040 has 64 divisors (see below), whose sum is σ = 9473760. Its totient is φ = 1441792.

The previous prime is 3783007. The next prime is 3783041. The reversal of 3783040 is 403873.

3783040 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 (64).

It is a super-2 number, since 2×3783040² = 28622783283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3782996 and 3783014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3783041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14592 + ... + 14848.

Almost surely, 2^3783040 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 3783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736880).

3783040 is an abundant number, since it is smaller than the sum of its proper divisors (5690720).

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

3783040 is a wasteful number, since it uses less digits than its factorization.

3783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 3783040 is about 1945.0038560373. The cubic root of 3783040 is about 155.8165716066.

The spelling of 3783040 in words is "three million, seven hundred eighty-three thousand, forty".