3605952 has 56 divisors (see below), whose sum is σ = 10907776. Its totient is φ = 1029888.

The previous prime is 3605939. The next prime is 3605957. The reversal of 3605952 is 2595063.

3605952 is digitally balanced in base 5, 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 (56).

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3605957) 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, 3 + ... + 2685.

Almost surely, 2^3605952 is an apocalyptic number.

3605952 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 3605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453888).

3605952 is an abundant number, since it is smaller than the sum of its proper divisors (7301824).

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

3605952 is a wasteful number, since it uses less digits than its factorization.

3605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 3605952 is about 1898.9344380468. The cubic root of 3605952 is about 153.3463043007.

The spelling of 3605952 in words is "three million, six hundred five thousand, nine hundred fifty-two".