3605880 has 64 divisors (see below), whose sum is σ = 10944000. Its totient is φ = 950400.

The previous prime is 3605879. The next prime is 3605881. The reversal of 3605880 is 885063.

3605880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3605879) and next prime (3605881).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3605881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18021 + ... + 18219.

It is an arithmetic number, because the mean of its divisors is an integer number (171000).

Almost surely, 2^3605880 is an apocalyptic number.

3605880 is a gapful number since it is divisible by the number (30) 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 3605880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472000).

3605880 is an abundant number, since it is smaller than the sum of its proper divisors (7338120).

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

3605880 is a wasteful number, since it uses less digits than its factorization.

3605880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3605880 is about 1898.9154799516. The cubic root of 3605880 is about 153.3452836727.

The spelling of 3605880 in words is "three million, six hundred five thousand, eight hundred eighty".