3213959164416 has 640 divisors, whose sum is σ = 12773482444800. Its totient is φ = 770576302080.

The previous prime is 3213959164397. The next prime is 3213959164417. The reversal of 3213959164416 is 6144619593123.

3213959164416 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 9 + 591 + 6 + 4 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3213959164417) 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 63 ways as a sum of consecutive naturals, for example, 13721695 + ... + 13953953.

It is an arithmetic number, because the mean of its divisors is an integer number (19958566320).

Almost surely, 2^{3213959164416} is an apocalyptic number.

3213959164416 is a gapful number since it is divisible by the number (36) 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 3213959164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386741222400).

3213959164416 is an abundant number, since it is smaller than the sum of its proper divisors (9559523280384).

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

3213959164416 is a wasteful number, since it uses less digits than its factorization.

3213959164416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232317 (or 232295 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 3213959164416 in words is "three trillion, two hundred thirteen billion, nine hundred fifty-nine million, one hundred sixty-four thousand, four hundred sixteen".