3927680 has 96 divisors (see below), whose sum is σ = 10492740. Its totient is φ = 1400832.

The previous prime is 3927667. The next prime is 3927691. The reversal of 3927680 is 867293.

It can be written as a sum of positive squares in 2 ways, for example, as 3904576 + 23104 = 1976^2 + 152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3927680.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206711 + ... + 206729.

Almost surely, 2^3927680 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 3927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246370).

3927680 is an abundant number, since it is smaller than the sum of its proper divisors (6565060).

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

3927680 is a wasteful number, since it uses less digits than its factorization.

3927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 3927680 is about 1981.8375311816. The cubic root of 3927680 is about 157.7776073235. Note that the first 3 decimals are identical.

The spelling of 3927680 in words is "three million, nine hundred twenty-seven thousand, six hundred eighty".