3827720 has 64 divisors (see below), whose sum is σ = 9843120. Its totient is φ = 1327104.

The previous prime is 3827701. The next prime is 3827723. The reversal of 3827720 is 277283.

It can be written as a sum of positive squares in 8 ways, for example, as 708964 + 3118756 = 842^2 + 1766^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3827723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8624 + ... + 9056.

Almost surely, 2^3827720 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 3827720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921560).

3827720 is an abundant number, since it is smaller than the sum of its proper divisors (6015400).

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

3827720 is a wasteful number, since it uses less digits than its factorization.

3827720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 3827720 is about 1956.4559795712. The cubic root of 3827720 is about 156.4276017855.

The spelling of 3827720 in words is "three million, eight hundred twenty-seven thousand, seven hundred twenty".