3808672 has 48 divisors (see below), whose sum is σ = 8769600. Its totient is φ = 1627584.

The previous prime is 3808667. The next prime is 3808709. The reversal of 3808672 is 2768083.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10803 + ... + 11149.

It is an arithmetic number, because the mean of its divisors is an integer number (182700).

Almost surely, 2^3808672 is an apocalyptic number.

3808672 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 3808672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384800).

3808672 is an abundant number, since it is smaller than the sum of its proper divisors (4960928).

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

3808672 is an equidigital number, since it uses as much as digits as its factorization.

3808672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 3808672 is about 1951.5819224414. The cubic root of 3808672 is about 156.1676916898.

The spelling of 3808672 in words is "three million, eight hundred eight thousand, six hundred seventy-two".