3633114144 has 96 divisors (see below), whose sum is σ = 10415139840. Its totient is φ = 1099756800.

The previous prime is 3633114143. The next prime is 3633114157. The reversal of 3633114144 is 4414113363.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3633114143) 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 15 ways as a sum of consecutive naturals, for example, 1932597 + ... + 1934475.

It is an arithmetic number, because the mean of its divisors is an integer number (108491040).

Almost surely, 2^3633114144 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 3633114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207569920).

3633114144 is an abundant number, since it is smaller than the sum of its proper divisors (6782025696).

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

3633114144 is a wasteful number, since it uses less digits than its factorization.

3633114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3726 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 3633114144 is about 60275.3195263202. The cubic root of 3633114144 is about 1537.3037298010.

The spelling of 3633114144 in words is "three billion, six hundred thirty-three million, one hundred fourteen thousand, one hundred forty-four".