3286164916224 has 384 divisors, whose sum is σ = 10286535168000. Its totient is φ = 1034468278272.

The previous prime is 3286164916213. The next prime is 3286164916273. The reversal of 3286164916224 is 4226194616823.

3286164916224 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 1 + 6 + 4 + 9 + 1 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100456479 + ... + 100489185.

It is an arithmetic number, because the mean of its divisors is an integer number (26787852000).

Almost surely, 2^{3286164916224} 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 3286164916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143267584000).

3286164916224 is an abundant number, since it is smaller than the sum of its proper divisors (7000370251776).

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

3286164916224 is a wasteful number, since it uses less digits than its factorization.

3286164916224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32840 (or 32814 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 3286164916224 in words is "three trillion, two hundred eighty-six billion, one hundred sixty-four million, nine hundred sixteen thousand, two hundred twenty-four".