3305952 has 72 divisors (see below), whose sum is σ = 10135944. Its totient is φ = 1016064.

The previous prime is 3305941. The next prime is 3305959. The reversal of 3305952 is 2595033.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305959) 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, 3303 + ... + 4185.

It is an arithmetic number, because the mean of its divisors is an integer number (140777).

Almost surely, 2^3305952 is an apocalyptic number.

3305952 is a gapful number since it is divisible by the number (32) 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 3305952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067972).

3305952 is an abundant number, since it is smaller than the sum of its proper divisors (6829992).

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

3305952 is a wasteful number, since it uses less digits than its factorization.

3305952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 3305952 is about 1818.2277085118. The cubic root of 3305952 is about 148.9700103299.

The spelling of 3305952 in words is "three million, three hundred five thousand, nine hundred fifty-two".