3627248 has 40 divisors (see below), whose sum is σ = 7428096. Its totient is φ = 1713600.

The previous prime is 3627223. The next prime is 3627251. The reversal of 3627248 is 8427263.

It is a d-powerful number, because it can be written as 3¹⁰ + 6⁸ + 2¹⁴ + 7⁷ + 2²⁰ + 4² + 8² .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35165 + ... + 35267.

Almost surely, 2^3627248 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 3627248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714048).

3627248 is an abundant number, since it is smaller than the sum of its proper divisors (3800848).

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

3627248 is a wasteful number, since it uses less digits than its factorization.

3627248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

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

The square root of 3627248 is about 1904.5335386913. The cubic root of 3627248 is about 153.6475890592.

The spelling of 3627248 in words is "three million, six hundred twenty-seven thousand, two hundred forty-eight".