3633661600 has 144 divisors (see below), whose sum is σ = 9430130808. Its totient is φ = 1362493440.

The previous prime is 3633661579. The next prime is 3633661649. The reversal of 3633661600 is 61663363.

It can be written as a sum of positive squares in 12 ways, for example, as 543635856 + 3090025744 = 23316^2 + 55588^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5398864 + ... + 5399536.

Almost surely, 2^3633661600 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 3633661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715065404).

3633661600 is an abundant number, since it is smaller than the sum of its proper divisors (5796469208).

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

3633661600 is a wasteful number, since it uses less digits than its factorization.

3633661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 34.

The square root of 3633661600 is about 60279.8606501375. The cubic root of 3633661600 is about 1537.3809421546.

The spelling of 3633661600 in words is "three billion, six hundred thirty-three million, six hundred sixty-one thousand, six hundred".