3629106 has 36 divisors (see below), whose sum is σ = 8521578. Its totient is φ = 1115712.

The previous prime is 3629099. The next prime is 3629107. The reversal of 3629106 is 6019263.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1846881 + 1782225 = 1359^2 + 1335^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3629106.

It is not an unprimeable number, because it can be changed into a prime (3629107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2446 + ... + 3638.

Almost surely, 2^3629106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3629106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260789).

3629106 is an abundant number, since it is smaller than the sum of its proper divisors (4892472).

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

3629106 is a wasteful number, since it uses less digits than its factorization.

3629106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3629106 is about 1905.0212597239. The cubic root of 3629106 is about 153.6738190909.

The spelling of 3629106 in words is "three million, six hundred twenty-nine thousand, one hundred six".