3815040 has 64 divisors (see below), whose sum is σ = 12166560. Its totient is φ = 1016832.

The previous prime is 3814997. The next prime is 3815041. The reversal of 3815040 is 405183.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3814998 and 3815016.

It is not an unprimeable number, because it can be changed into a prime (3815041) 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, 927 + ... + 2913.

Almost surely, 2^3815040 is an apocalyptic number.

3815040 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 3815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083280).

3815040 is an abundant number, since it is smaller than the sum of its proper divisors (8351520).

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

3815040 is a wasteful number, since it uses less digits than its factorization.

3815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 3815040 is about 1953.2127380293. The cubic root of 3815040 is about 156.2546793265.

The spelling of 3815040 in words is "three million, eight hundred fifteen thousand, forty".