3605882401 has 27 divisors (see below), whose sum is σ = 4079285427. Its totient is φ = 3184998960.

The previous prime is 3605882381. The next prime is 3605882407. The reversal of 3605882401 is 1042885063.

It is a happy number.

The square root of 3605882401 is 60049.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2599470225 + 1006412176 = 50985^2 + 31724^2 .

It is not a de Polignac number, because 3605882401 - 2²⁹ = 3069011489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3605882407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35008516 + ... + 35008618.

Almost surely, 2^3605882401 is an apocalyptic number.

3605882401 is the 60049-th square number.

3605882401 is the 30025-th centered octagonal number.

It is an amenable number.

3605882401 is a deficient number, since it is larger than the sum of its proper divisors (473403026).

3605882401 is an equidigital number, since it uses as much as digits as its factorization.

3605882401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The cubic root of 3605882401 is about 1533.4531770801.

The spelling of 3605882401 in words is "three billion, six hundred five million, eight hundred eighty-two thousand, four hundred one".