3312640516824 has 240 divisors, whose sum is σ = 9944270887320. Its totient is φ = 1026715046400.

The previous prime is 3312640516813. The next prime is 3312640516837. The reversal of 3312640516824 is 4286150462133.

3312640516824 is a `hidden beast` number, since 3 + 3 + 12 + 6 + 40 + 516 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3312640516824.

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 59 ways as a sum of consecutive naturals, for example, 75867399 + ... + 75911049.

Almost surely, 2^{3312640516824} is an apocalyptic number.

3312640516824 is a gapful number since it is divisible by the number (34) 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 3312640516824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972135443660).

3312640516824 is an abundant number, since it is smaller than the sum of its proper divisors (6631630370496).

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

3312640516824 is a wasteful number, since it uses less digits than its factorization.

3312640516824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43852 (or 43756 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 3312640516824 its reverse (4286150462133), we get a palindrome (7598790978957).

The spelling of 3312640516824 in words is "three trillion, three hundred twelve billion, six hundred forty million, five hundred sixteen thousand, eight hundred twenty-four".