3627864 has 24 divisors (see below), whose sum is σ = 9825660. Its totient is φ = 1209264.

The previous prime is 3627863. The next prime is 3627889. The reversal of 3627864 is 4687263.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3627864² = 26322794404992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3627863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25122 + ... + 25265.

Almost surely, 2^3627864 is an apocalyptic number.

It is an amenable number.

3627864 is an abundant number, since it is smaller than the sum of its proper divisors (6197796).

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

3627864 is a wasteful number, since it uses less digits than its factorization.

3627864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50399 (or 50392 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3627864 is about 1904.6952512147. The cubic root of 3627864 is about 153.6562863376.

The spelling of 3627864 in words is "three million, six hundred twenty-seven thousand, eight hundred sixty-four".