3827264 has 28 divisors (see below), whose sum is σ = 8680704. Its totient is φ = 1640064.

The previous prime is 3827249. The next prime is 3827273. The reversal of 3827264 is 4627283.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3⁶ + 8⁵ + 2⁷ + 7⁵ + 2²¹ + 6⁸ + 4³ .

It is a self number, because there is not a number n which added to its sum of digits gives 3827264.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3824 + ... + 4719.

Almost surely, 2^3827264 is an apocalyptic number.

It is an amenable number.

3827264 is an abundant number, since it is smaller than the sum of its proper divisors (4853440).

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

3827264 is an equidigital number, since it uses as much as digits as its factorization.

3827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8562 (or 8552 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 3827264 is about 1956.3394388500. The cubic root of 3827264 is about 156.4213897481.

The spelling of 3827264 in words is "three million, eight hundred twenty-seven thousand, two hundred sixty-four".