3807328 has 48 divisors (see below), whose sum is σ = 8951040. Its totient is φ = 1558656.

The previous prime is 3807317. The next prime is 3807341. The reversal of 3807328 is 8237083.

It is a self number, because there is not a number n which added to its sum of digits gives 3807328.

It is a congruent 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, 4783 + ... + 5521.

It is an arithmetic number, because the mean of its divisors is an integer number (186480).

Almost surely, 2^3807328 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 3807328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475520).

3807328 is an abundant number, since it is smaller than the sum of its proper divisors (5143712).

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

3807328 is a wasteful number, since it uses less digits than its factorization.

3807328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 3807328 is about 1951.2375560141. The cubic root of 3807328 is about 156.1493201007.

The spelling of 3807328 in words is "three million, eight hundred seven thousand, three hundred twenty-eight".