3306624 has 64 divisors (see below), whose sum is σ = 8976000. Its totient is φ = 1078272.

The previous prime is 3306623. The next prime is 3306629. The reversal of 3306624 is 4266033.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3306594 and 3306603.

It is not an unprimeable number, because it can be changed into a prime (3306623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30282 + ... + 30390.

It is an arithmetic number, because the mean of its divisors is an integer number (140250).

Almost surely, 2^3306624 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 3306624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488000).

3306624 is an abundant number, since it is smaller than the sum of its proper divisors (5669376).

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

3306624 is a wasteful number, since it uses less digits than its factorization.

3306624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3306624 is about 1818.4124944577. The cubic root of 3306624 is about 148.9801033445.

The spelling of 3306624 in words is "three million, three hundred six thousand, six hundred twenty-four".