3807872 has 32 divisors (see below), whose sum is σ = 7711200. Its totient is φ = 1872640.

The previous prime is 3807871. The next prime is 3807877. The reversal of 3807872 is 2787083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3807871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8879 + ... + 9297.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 2^3807872 is an apocalyptic number.

3807872 is a gapful number since it is divisible by the number (32) 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 3807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855600).

3807872 is an abundant number, since it is smaller than the sum of its proper divisors (3903328).

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

3807872 is an equidigital number, since it uses as much as digits as its factorization.

3807872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 3807872 is about 1951.3769497460. The cubic root of 3807872 is about 156.1567567408.

The spelling of 3807872 in words is "three million, eight hundred seven thousand, eight hundred seventy-two".