3643272 has 64 divisors (see below), whose sum is σ = 10281600. Its totient is φ = 1195200.

The previous prime is 3643271. The next prime is 3643291. The reversal of 3643272 is 2723463.

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

It is not an unprimeable number, because it can be changed into a prime (3643271) 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, 21733 + ... + 21899.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^3643272 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 3643272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140800).

3643272 is an abundant number, since it is smaller than the sum of its proper divisors (6638328).

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

3643272 is a wasteful number, since it uses less digits than its factorization.

3643272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 3643272 is about 1908.7357072156. The cubic root of 3643272 is about 153.8735116989.

The spelling of 3643272 in words is "three million, six hundred forty-three thousand, two hundred seventy-two".