3630864384 has 288 divisors, whose sum is σ = 12142690560. Its totient is φ = 1023787008.

The previous prime is 3630864379. The next prime is 3630864443. The reversal of 3630864384 is 4834680363.

3630864384 is a `hidden beast` number, since 3 + 630 + 8 + 6 + 4 + 3 + 8 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13805437 + ... + 13805699.

It is an arithmetic number, because the mean of its divisors is an integer number (42162120).

Almost surely, 2^3630864384 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 3630864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071345280).

3630864384 is an abundant number, since it is smaller than the sum of its proper divisors (8511826176).

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

3630864384 is a wasteful number, since it uses less digits than its factorization.

3630864384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3630864384 is about 60256.6542715408. The cubic root of 3630864384 is about 1536.9863456471.

The spelling of 3630864384 in words is "three billion, six hundred thirty million, eight hundred sixty-four thousand, three hundred eighty-four".