3507328 has 64 divisors (see below), whose sum is σ = 7931520. Its totient is φ = 1530880.

The previous prime is 3507323. The next prime is 3507367. The reversal of 3507328 is 8237053.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3507296 and 3507305.

It is not an unprimeable number, because it can be changed into a prime (3507323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66150 + ... + 66202.

It is an arithmetic number, because the mean of its divisors is an integer number (123930).

Almost surely, 2^3507328 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 3507328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965760).

3507328 is an abundant number, since it is smaller than the sum of its proper divisors (4424192).

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

3507328 is a wasteful number, since it uses less digits than its factorization.

3507328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 3507328 is about 1872.7861597096. The cubic root of 3507328 is about 151.9353372231.

The spelling of 3507328 in words is "three million, five hundred seven thousand, three hundred twenty-eight".