3218730624 has 96 divisors (see below), whose sum is σ = 9275423040. Its totient is φ = 1071383040.

The previous prime is 3218730611. The next prime is 3218730629. The reversal of 3218730624 is 4260378123.

It is a happy number.

3218730624 is a `hidden beast` number, since 3 + 21 + 8 + 7 + 3 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (3218730629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1047939 + ... + 1051005.

It is an arithmetic number, because the mean of its divisors is an integer number (96618990).

Almost surely, 2^3218730624 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 3218730624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637711520).

3218730624 is an abundant number, since it is smaller than the sum of its proper divisors (6056692416).

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

3218730624 is a wasteful number, since it uses less digits than its factorization.

3218730624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3218730624 is about 56733.8578275795. The cubic root of 3218730624 is about 1476.4821832204.

The spelling of 3218730624 in words is "three billion, two hundred eighteen million, seven hundred thirty thousand, six hundred twenty-four".