3636630240 has 96 divisors (see below), whose sum is σ = 11568959136. Its totient is φ = 960153600.

The previous prime is 3636630227. The next prime is 3636630253. The reversal of 3636630240 is 420366363.

It is an interprime number because it is at equal distance from previous prime (3636630227) and next prime (3636630253).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10974 + ... + 85986.

It is an arithmetic number, because the mean of its divisors is an integer number (120509991).

Almost surely, 2^3636630240 is an apocalyptic number.

3636630240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3636630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784479568).

3636630240 is an abundant number, since it is smaller than the sum of its proper divisors (7932328896).

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

3636630240 is a wasteful number, since it uses less digits than its factorization.

3636630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75132 (or 75124 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

The square root of 3636630240 is about 60304.4794356108. The cubic root of 3636630240 is about 1537.7994995898.

The spelling of 3636630240 in words is "three billion, six hundred thirty-six million, six hundred thirty thousand, two hundred forty".