3805272 has 64 divisors (see below), whose sum is σ = 10752000. Its totient is φ = 1246752.

The previous prime is 3805259. The next prime is 3805273. The reversal of 3805272 is 2725083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3805273) 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, 16953 + ... + 17175.

It is an arithmetic number, because the mean of its divisors is an integer number (168000).

Almost surely, 2^3805272 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 3805272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5376000).

3805272 is an abundant number, since it is smaller than the sum of its proper divisors (6946728).

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

3805272 is a wasteful number, since it uses less digits than its factorization.

3805272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3805272 is about 1950.7106397413. The cubic root of 3805272 is about 156.1212075759.

The spelling of 3805272 in words is "three million, eight hundred five thousand, two hundred seventy-two".