3547648 has 60 divisors (see below), whose sum is σ = 7862778. Its totient is φ = 1597440.

The previous prime is 3547639. The next prime is 3547651. The reversal of 3547648 is 8467453.

It can be written as a sum of positive squares in 3 ways, for example, as 831744 + 2715904 = 912^2 + 1648^2 .

Its product of digits (80640) is a multiple of the sum of its prime divisors (56).

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, 86508 + ... + 86548.

Almost surely, 2^3547648 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 3547648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931389).

3547648 is an abundant number, since it is smaller than the sum of its proper divisors (4315130).

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

3547648 is an equidigital number, since it uses as much as digits as its factorization.

3547648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 56 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 3547648 is about 1883.5201087326. The cubic root of 3547648 is about 152.5153330458.

The spelling of 3547648 in words is "three million, five hundred forty-seven thousand, six hundred forty-eight".