3633122016 has 72 divisors (see below), whose sum is σ = 10526672520. Its totient is φ = 1188185856.

The previous prime is 3633122011. The next prime is 3633122029. The reversal of 3633122016 is 6102213363.

It is a happy number.

3633122016 is a `hidden beast` number, since 3 + 633 + 1 + 2 + 20 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3633122011) by changing a digit.

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, 103746 + ... + 134273.

It is an arithmetic number, because the mean of its divisors is an integer number (146203785).

Almost surely, 2^3633122016 is an apocalyptic number.

3633122016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3633122016 is an abundant number, since it is smaller than the sum of its proper divisors (6893550504).

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

3633122016 is a wasteful number, since it uses less digits than its factorization.

3633122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238088 (or 238077 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3633122016 is about 60275.3848266438. The cubic root of 3633122016 is about 1537.3048401108.

Adding to 3633122016 its reverse (6102213363), we get a palindrome (9735335379).

The spelling of 3633122016 in words is "three billion, six hundred thirty-three million, one hundred twenty-two thousand, sixteen".