3807960 has 64 divisors (see below), whose sum is σ = 12307680. Its totient is φ = 936960.

The previous prime is 3807959. The next prime is 3808001. The reversal of 3807960 is 697083.

It is a happy number.

3807960 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, 340 + ... + 2780.

Almost surely, 2^3807960 is an apocalyptic number.

3807960 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 3807960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153840).

3807960 is an abundant number, since it is smaller than the sum of its proper divisors (8499720).

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

3807960 is a wasteful number, since it uses less digits than its factorization.

3807960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3807960 is about 1951.3994977964. The cubic root of 3807960 is about 156.1579596602.

The spelling of 3807960 in words is "three million, eight hundred seven thousand, nine hundred sixty".