3633142400 has 96 divisors (see below), whose sum is σ = 9083793600. Its totient is φ = 1435642880.

The previous prime is 3633142393. The next prime is 3633142453. The reversal of 3633142400 is 42413363.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3633142400.

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 11 ways as a sum of consecutive naturals, for example, 258761 + ... + 272439.

It is an arithmetic number, because the mean of its divisors is an integer number (94622850).

Almost surely, 2^3633142400 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 3633142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541896800).

3633142400 is an abundant number, since it is smaller than the sum of its proper divisors (5450651200).

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

3633142400 is a wasteful number, since it uses less digits than its factorization.

3633142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13786 (or 13769 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3633142400 is about 60275.5539169903. The cubic root of 3633142400 is about 1537.3077151737.

Adding to 3633142400 its reverse (42413363), we get a palindrome (3675555763).

The spelling of 3633142400 in words is "three billion, six hundred thirty-three million, one hundred forty-two thousand, four hundred".