3629600 has 72 divisors (see below), whose sum is σ = 9569700. Its totient is φ = 1336320.

The previous prime is 3629597. The next prime is 3629609. The reversal of 3629600 is 69263.

It can be written as a sum of positive squares in 6 ways, for example, as 1056784 + 2572816 = 1028^2 + 1604^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3629600.

It is not an unprimeable number, because it can be changed into a prime (3629609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10226 + ... + 10574.

Almost surely, 2^3629600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3629600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784850).

3629600 is an abundant number, since it is smaller than the sum of its proper divisors (5940100).

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

3629600 is a wasteful number, since it uses less digits than its factorization.

3629600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 3629600 is about 1905.1509126576. The cubic root of 3629600 is about 153.6807915540.

The spelling of 3629600 in words is "three million, six hundred twenty-nine thousand, six hundred".