3636281600 has 216 divisors, whose sum is σ = 10736396160. Its totient is φ = 1192181760.

The previous prime is 3636281591. The next prime is 3636281603. The reversal of 3636281600 is 61826363.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (3636281603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028636 + ... + 1032164.

Almost surely, 2^3636281600 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 3636281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368198080).

3636281600 is an abundant number, since it is smaller than the sum of its proper divisors (7100114560).

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

3636281600 is a wasteful number, since it uses less digits than its factorization.

3636281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 3636281600 is about 60301.5887021229. The cubic root of 3636281600 is about 1537.7503556007.

The spelling of 3636281600 in words is "three billion, six hundred thirty-six million, two hundred eighty-one thousand, six hundred".