3631561344 has 128 divisors (see below), whose sum is σ = 10740600000. Its totient is φ = 1207987200.

The previous prime is 3631561313. The next prime is 3631561357. The reversal of 3631561344 is 4431651363.

3631561344 is a `hidden beast` number, since 3 + 6 + 31 + 5 + 613 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3631561299 and 3631561308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2421907 + ... + 2423405.

Almost surely, 2^3631561344 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 3631561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370300000).

3631561344 is an abundant number, since it is smaller than the sum of its proper divisors (7109038656).

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

3631561344 is a wasteful number, since it uses less digits than its factorization.

3631561344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2205 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 3631561344 is about 60262.4372557234. The cubic root of 3631561344 is about 1537.0846830636.

The spelling of 3631561344 in words is "three billion, six hundred thirty-one million, five hundred sixty-one thousand, three hundred forty-four".