3302361324864 has 1344 divisors, whose sum is σ = 11917113901056. Its totient is φ = 854166601728.

The previous prime is 3302361324853. The next prime is 3302361324869. The reversal of 3302361324864 is 4684231632033.

3302361324864 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 3 + 613 + 24 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3302361324869) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30863189899 + ... + 30863190005.

It is an arithmetic number, because the mean of its divisors is an integer number (8866900224).

Almost surely, 2^{3302361324864} 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 3302361324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958556950528).

3302361324864 is an abundant number, since it is smaller than the sum of its proper divisors (8614752576192).

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

3302361324864 is a wasteful number, since it uses less digits than its factorization.

3302361324864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

Adding to 3302361324864 its reverse (4684231632033), we get a palindrome (7986592956897).

The spelling of 3302361324864 in words is "three trillion, three hundred two billion, three hundred sixty-one million, three hundred twenty-four thousand, eight hundred sixty-four".