3282630624 has 288 divisors, whose sum is σ = 11917301760. Its totient is φ = 865562112.

The previous prime is 3282630583. The next prime is 3282630647. The reversal of 3282630624 is 4260362823.

3282630624 is a `hidden beast` number, since 3 + 2 + 8 + 26 + 3 + 0 + 624 = 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705297 + ... + 709935.

It is an arithmetic number, because the mean of its divisors is an integer number (41379520).

Almost surely, 2^3282630624 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 3282630624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958650880).

3282630624 is an abundant number, since it is smaller than the sum of its proper divisors (8634671136).

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

3282630624 is a wasteful number, since it uses less digits than its factorization.

3282630624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3282630624 is about 57294.2459938169. The cubic root of 3282630624 is about 1486.1888734759.

The spelling of 3282630624 in words is "three billion, two hundred eighty-two million, six hundred thirty thousand, six hundred twenty-four".