3807440 has 80 divisors (see below), whose sum is σ = 10915968. Its totient is φ = 1202688.

The previous prime is 3807431. The next prime is 3807449. The reversal of 3807440 is 447083.

It is an interprime number because it is at equal distance from previous prime (3807431) and next prime (3807449).

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 (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3807449) 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, 7019 + ... + 7541.

Almost surely, 2^3807440 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 3807440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457984).

3807440 is an abundant number, since it is smaller than the sum of its proper divisors (7108528).

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

3807440 is a wasteful number, since it uses less digits than its factorization.

3807440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 3807440 is about 1951.2662555377. The cubic root of 3807440 is about 156.1508512316.

The spelling of 3807440 in words is "three million, eight hundred seven thousand, four hundred forty".