3629776 has 20 divisors (see below), whose sum is σ = 7114500. Its totient is φ = 1793792.

The previous prime is 3629749. The next prime is 3629777. The reversal of 3629776 is 6779263.

3629776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2131600 + 1498176 = 1460^2 + 1224^2 .

Its product of digits (95256) is a multiple of the sum of its prime factors (2646).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629777) 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 3 ways as a sum of consecutive naturals, for example, 150 + ... + 2698.

It is an arithmetic number, because the mean of its divisors is an integer number (355725).

Almost surely, 2^3629776 is an apocalyptic number.

It is an amenable number.

3629776 is a deficient number, since it is larger than the sum of its proper divisors (3484724).

3629776 is a wasteful number, since it uses less digits than its factorization.

3629776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2640 counting only the distinct ones).

The product of its digits is 95256, while the sum is 40.

The square root of 3629776 is about 1905.1971026642. The cubic root of 3629776 is about 153.6832755175.

It can be divided in two parts, 36297 and 76, that multiplied together give a palindrome (2758572).

The spelling of 3629776 in words is "three million, six hundred twenty-nine thousand, seven hundred seventy-six".