3483648 has 144 divisors (see below), whose sum is σ = 11924640. Its totient is φ = 995328.

The previous prime is 3483643. The next prime is 3483659. The reversal of 3483648 is 8463843.

3483648 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (55296) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (3483643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497661 + ... + 497667.

It is an arithmetic number, because the mean of its divisors is an integer number (82810).

Almost surely, 2^3483648 is an apocalyptic number.

3483648 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962320).

3483648 is an abundant number, since it is smaller than the sum of its proper divisors (8440992).

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

3483648 is an frugal number, since it uses more digits than its factorization.

3483648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 12 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3483648 is about 1866.4533211415. The cubic root of 3483648 is about 151.5926303438.

The spelling of 3483648 in words is "three million, four hundred eighty-three thousand, six hundred forty-eight".