3631641120 has 288 divisors, whose sum is σ = 13212605952. Its totient is φ = 906233856.

The previous prime is 3631641119. The next prime is 3631641127. The reversal of 3631641120 is 211461363.

3631641120 is a `hidden beast` number, since 3 + 6 + 3 + 1 + 641 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3631641127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1555474 + ... + 1557806.

It is an arithmetic number, because the mean of its divisors is an integer number (45877104).

Almost surely, 2^3631641120 is an apocalyptic number.

3631641120 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 3631641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606302976).

3631641120 is an abundant number, since it is smaller than the sum of its proper divisors (9580964832).

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

3631641120 is a wasteful number, since it uses less digits than its factorization.

3631641120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3631641120 is about 60263.0991569468. The cubic root of 3631641120 is about 1537.0959382381.

The spelling of 3631641120 in words is "three billion, six hundred thirty-one million, six hundred forty-one thousand, one hundred twenty".