3629263 has 16 divisors (see below), whose sum is σ = 4239360. Its totient is φ = 3074400.

The previous prime is 3629261. The next prime is 3629287.

3629263 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3629263 - 2¹ = 3629261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a d-powerful number, because it can be written as 3¹¹ + 6⁵ + 2¹⁵ + 9⁴ + 2¹⁷ + 6⁸ + 3¹³ .

It is a Duffinian number.

3629263 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9706 + ... + 10072.

It is an arithmetic number, because the mean of its divisors is an integer number (264960).

Almost surely, 2^3629263 is an apocalyptic number.

3629263 is a deficient number, since it is larger than the sum of its proper divisors (610097).

3629263 is a wasteful number, since it uses less digits than its factorization.

3629263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438.

The product of its digits is 11664, while the sum is 31.

The square root of 3629263 is about 1905.0624661674. The cubic root of 3629263 is about 153.6760351043.

The spelling of 3629263 in words is "three million, six hundred twenty-nine thousand, two hundred sixty-three".