3872268 has 18 divisors (see below), whose sum is σ = 9788324. Its totient is φ = 1290744.

The previous prime is 3872249. The next prime is 3872273. The reversal of 3872268 is 8622783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 107563 = 3872268 / (3 + 8 + 7 + 2 + 2 + 6 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53746 + ... + 53817.

Almost surely, 2^3872268 is an apocalyptic number.

It is an amenable number.

3872268 is an abundant number, since it is smaller than the sum of its proper divisors (5916056).

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

3872268 is a wasteful number, since it uses less digits than its factorization.

3872268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107573 (or 107568 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3872268 is about 1967.8079174554. The cubic root of 3872268 is about 157.0321110297.

The spelling of 3872268 in words is "three million, eight hundred seventy-two thousand, two hundred sixty-eight".