3605920 has 48 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 1393920.

The previous prime is 3605897. The next prime is 3605923. The reversal of 3605920 is 295063.

It is not an unprimeable number, because it can be changed into a prime (3605923) 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, 4597 + ... + 5323.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 2^3605920 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 3605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

3605920 is an abundant number, since it is smaller than the sum of its proper divisors (5199968).

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

3605920 is a wasteful number, since it uses less digits than its factorization.

3605920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 3605920 is about 1898.9260122501. The cubic root of 3605920 is about 153.3458506899.

It can be divided in two parts, 3605 and 920, that multiplied together give a triangular number (3316600 = T₂₅₇₅).

The spelling of 3605920 in words is "three million, six hundred five thousand, nine hundred twenty".