3648096 has 72 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 1188096.

The previous prime is 3648079. The next prime is 3648101. The reversal of 3648096 is 6908463.

3648096 is a `hidden beast` number, since 3 + 648 + 0 + 9 + 6 = 666.

3648096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3648096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15145 + ... + 15383.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^3648096 is an apocalyptic number.

3648096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3648096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

3648096 is an abundant number, since it is smaller than the sum of its proper divisors (6966144).

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

3648096 is a wasteful number, since it uses less digits than its factorization.

3648096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3648096 is about 1909.9989528793. The cubic root of 3648096 is about 153.9413955905.

The spelling of 3648096 in words is "three million, six hundred forty-eight thousand, ninety-six".