3631944960 has 288 divisors, whose sum is σ = 14730535680. Its totient is φ = 830103552.

The previous prime is 3631944929. The next prime is 3631944989. The reversal of 3631944960 is 694491363.

3631944960 is a `hidden beast` number, since 3 + 631 + 9 + 4 + 4 + 9 + 6 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 234414 + ... + 249426.

Almost surely, 2^3631944960 is an apocalyptic number.

3631944960 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 3631944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365267840).

3631944960 is an abundant number, since it is smaller than the sum of its proper divisors (11098590720).

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

3631944960 is a wasteful number, since it uses less digits than its factorization.

3631944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15050 (or 15030 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3631944960 is about 60265.6200499091. The cubic root of 3631944960 is about 1537.1388039096.

The spelling of 3631944960 in words is "three billion, six hundred thirty-one million, nine hundred forty-four thousand, nine hundred sixty".